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An Observation About Weak Solutions of Linear Differential Equations in Hilbert Spaces
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2024
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Vittorino Pata
Justin T. Webster
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An Observation About Weak Solutions of Linear Differential Equations in
Hilbert Spaces
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2024
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Vittorino Pata
Justin T. Webster
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Attractors for a fluid-structure interaction problem in a time-dependent phase space
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2023
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Filippo Gazzola
Vittorino Pata
Clara Patriarca
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On the linearized WhithamâBroerâKaup system on bounded domains
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2023
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Lorenzo Liverani
Youcef Mammeri
Vittorino Pata
R. Quintanilla
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Lack of superstable trajectories in linear viscoelasticity: a numerical approach
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2023
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Paola F. Antonietti
Lorenzo Liverani
Vittorino Pata
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On the Moore-Gibson-Thompson equation with memory with nonconvex kernels
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2023
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Monica Conti
Lorenzo Liverani
Vittorino Pata
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On the regularized Moore-Gibson-Thompson equation
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2023
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Filippo DellâOro
Lorenzo Liverani
Vittorino Pata
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On the Moore-Gibson-Thompson equation with thermal effects of Gurtin-Pipkin type
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2023
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Filippo DellâOro
Vittorino Pata
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Abstract damped wave equations: The optimal decay rate
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2023
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Filippo DellâOro
Lorenzo Liverani
Vittorino Pata
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A hierarchy of heat conduction laws
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2022
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Filippo DellâOro
Vittorino Pata
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Spectral Analysis and Stability of the Moore-Gibson-Thompson-Fourier Model
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2022
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Monica Conti
Filippo DellâOro
Lorenzo Liverani
Vittorino Pata
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On the analyticity of the abstract MGT-Fourier system
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2022
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Filippo DellâOro
Vittorino Pata
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Some unexplored questions arising in linear viscoelasticity
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2022
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Monica Conti
Filippo DellâOro
Vittorino Pata
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Thermoelasticity with antidissipation
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2022
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Monica Conti
Lorenzo Liverani
Vittorino Pata
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A hierarchy of heat conduction laws
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2022
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Filippo DellâOro
Vittorino Pata
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On the optimal decay rate of the weakly damped wave equation
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2022
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Monica Conti
Lorenzo Liverani
Vittorino Pata
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Multi-term fractional linear equations modeling oxygen subdiffusion through capillaries
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2022
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Vittorino Pata
Sergii V. Siryk
Nataliya Vasylyeva
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The MGT-Fourier model in the supercritical case
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2021
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Monica Conti
Lorenzo Liverani
Vittorino Pata
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A note on the energy transfer in coupled differential systems
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2021
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Monica Conti
Lorenzo Liverani
Vittorino Pata
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The MGT-Fourier model in the supercritical case
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2021
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Monica Conti
Lorenzo Liverani
Vittorino Pata
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A direct computation of a certain family of integrals
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2021
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Lorenzo Fornari
Enrico Laeng
Vittorino Pata
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PDF
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A note on the energy transfer in coupled differential systems
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2021
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Monica Conti
Lorenzo Liverani
Vittorino Pata
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A note on the energy transfer in coupled differential systems
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2021
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Monica Conti
Lorenzo Liverani
Vittorino Pata
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On the Moore-Gibson-Thompson equation with memory with nonconvex kernels
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2021
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Monica Conti
Lorenzo Liverani
Vittorino Pata
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The MGT-Fourier model in the supercritical case
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2021
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Monica Conti
Lorenzo Liverani
Vittorino Pata
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A direct computation of a certain family of integrals
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2020
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Lorenzo Fornari
Enrico Laeng
Vittorino Pata
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A subdiffusive NavierâStokesâVoigt system
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2020
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Mykola Krasnoschok
Vittorino Pata
Sergii V. Siryk
Nataliya Vasylyeva
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PDF
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Nonclassical diffusion with memory lacking instantaneous damping
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2020
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Monica Conti
Filippo DellâOro
Vittorino Pata
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Exponential decay of a first order linear Volterra equation
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2020
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Monica Conti
Filippo DellâOro
Vittorino Pata
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PDF
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Global attractors for the Benjamin-Bona-Mahony equation with memory
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2020
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Filippo DellâOro
Olivier Goubet
Youcef Mammeri
Vittorino Pata
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PDF
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Equivalent definitions of Caputo derivatives and applications to subdiffusion equations
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2020
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Mykola Krasnoschok
Vittorino Pata
Sergii V. Siryk
Nataliya Vasylyeva
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A direct computation of a certain family of integrals
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2020
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Lorenzo Fornari
Enrico Laeng
Vittorino Pata
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A note on the MooreâGibsonâThompson equation with memory of type II
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2019
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Filippo DellâOro
Irena Lasiecka
Vittorino Pata
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General decay properties of abstract linear viscoelasticity
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2019
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Monica Conti
Vittorino Pata
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PDF
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Thermoelasticity of MooreâGibsonâThompson type with history dependence in the temperature
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2019
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Monica Conti
Vittorino Pata
R. Quintanilla
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Second Order Linear Evolution Equations with General Dissipation
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2019
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Filippo DellâOro
Vittorino Pata
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Semilinear subdiffusion with memory in multidimensional domains
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2019
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Mykola Krasnoschok
Vittorino Pata
Nataliya Vasylyeva
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On the MGT equation with memory of type II
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2019
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Filippo DellâOro
Irena Lasiecka
Vittorino Pata
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Two questions arising in the theory of attractors
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2019
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Vittorino Pata
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A semidiscrete scheme for evolution equations with memory
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2019
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Filippo DellâOro
Olivier Goubet
Youcef Mammeri
Vittorino Pata
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The Markov-Kakutani Theorem
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2019
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Vittorino Pata
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Invariant Means on Semigroups
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2019
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Vittorino Pata
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Further Extensions of the Contraction Principle
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2019
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Vittorino Pata
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An Abstract Elliptic Problem
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2019
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Vittorino Pata
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PDF
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The Invariant Subspace Problem
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2019
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Vittorino Pata
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The Implicit Function Theorem
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2019
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Vittorino Pata
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The Lax-Milgram Lemma
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2019
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Vittorino Pata
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An Abstract Parabolic Problem
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2019
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Vittorino Pata
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The Schauder-Tychonoff Fixed Point Theorem
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2019
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Vittorino Pata
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Ordinary Differential Equations in Banach Spaces
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2019
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Vittorino Pata
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PDF
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The Brouwer Fixed Point Theorem
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2019
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Vittorino Pata
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Fixed Points of Non-expansive Maps
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2019
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Vittorino Pata
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The Kakutani-Ky Fan Theorem
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2019
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Vittorino Pata
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Measure Preserving Maps on Compact Hausdorff Spaces
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2019
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Vittorino Pata
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The Riesz Mean Ergodic Theorem
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2019
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Vittorino Pata
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Location of Zeros
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2019
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Vittorino Pata
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Further Consequences of the Schauder-Tychonoff Theorem
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2019
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Vittorino Pata
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Sequences of Maps and Fixed Points
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2019
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Vittorino Pata
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Contractions of $$\varepsilon $$ -Type
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2019
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Vittorino Pata
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Semilinear Evolution Equations
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2019
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Vittorino Pata
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Fixed Point Theorems and Applications
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2019
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Vittorino Pata
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Weak Contractions
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2019
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Vittorino Pata
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Second order linear evolution equations with general dissipation
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2018
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Filippo DellâOro
Vittorino Pata
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PDF
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Solvability of linear boundary value problems for subdiffusion equations with memory
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2018
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Mykola Krasnoschok
Vittorino Pata
Nataliya Vasylyeva
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A model of viscoelasticity with time-dependent memory kernels
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2018
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Monica Conti
Valeria Danese
Claudio Giorgi
Vittorino Pata
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Viscoelasticity with time-dependent memory kernels, II: asymptotic behavior of solutions
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2018
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Monica Conti
Valeria Danese
Vittorino Pata
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Second order linear evolution equations with general dissipation
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2018
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Filippo DellâOro
Vittorino Pata
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PDF
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NavierâStokesâVoigt Equations with Memory in 3D Lacking Instantaneous Kinematic Viscosity
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2017
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Francesco Di Plinio
Andrea Giorgini
Vittorino Pata
Roger TĂ©mam
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Semilinear subdiffusion with memory in the one-dimensional case
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2017
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Mykola Krasnoschok
Vittorino Pata
Nataliya Vasylyeva
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PDF
Chat
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On a Fourth-Order Equation of MooreâGibsonâThompson Type
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2017
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Filippo DellâOro
Vittorino Pata
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Averaging of equations of viscoelasticity with singularly oscillating external forces
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2017
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Vladimir V. Chepyzhov
Monica Conti
Vittorino Pata
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Global attractors for the Benjamin-Bona-Mahony equation with memory
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2017
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Filippo DellâOro
Olivier Goubet
Youcef Mammeri
Vittorino Pata
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A quantitative Riemann-Lebesgue lemma with application to equations with memory
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2017
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Filippo DellâOro
Enrico Laeng
Vittorino Pata
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Global attractors for the Benjamin-Bona-Mahony equation with memory
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2017
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Filippo DellâOro
Olivier Goubet
Youcef Mammeri
Vittorino Pata
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Steady states of elastically-coupled extensible double-beam systems
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2016
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Filippo DellâOro
Claudio Giorgi
Vittorino Pata
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Averaging of equations of viscoelasticity with singularly oscillating external forces
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2016
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Đ. Đ. ЧДпŃĐ¶ĐŸĐČ
Monica Conti
Vittorino Pata
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The MooreâGibsonâThompson equation with memory in the critical case
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2016
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Filippo DellâOro
Irena Lasiecka
Vittorino Pata
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PDF
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Global attractors for nonlinear viscoelastic equations with memory
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2016
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Vittorino Pata
Elsa M. Marchini
Monica Conti
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A quantitative Riemann-Lebesgue lemma with application to equations with memory
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2016
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Filippo DellâOro
Enrico Laeng
Vittorino Pata
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Viscoelasticity with time-dependent memory kernels. Part II: asymptotic behavior of solutions
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2016
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Monica Conti
Valeria Danese
Vittorino Pata
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A model of viscoelasticity with time-dependent memory kernels
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2016
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Monica Conti
Valeria Danese
Claudio Giorgi
Vittorino Pata
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PDF
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Stability analysis of abstract systems of Timoshenko type
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2016
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Valeria Danese
Filippo DellâOro
Vittorino Pata
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Steady states of elastically-coupled extensible double-beam systems
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2016
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Filippo DellâOro
Claudio Giorgi
Vittorino Pata
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Steady states of elastically-coupled extensible double-beam systems
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2016
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Filippo DellâOro
Claudio Giorgi
Vittorino Pata
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Viscoelasticity with time-dependent memory kernels. Part II: asymptotic behavior of solutions
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2016
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Monica Conti
Valeria Danese
Vittorino Pata
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A model of viscoelasticity with time-dependent memory kernels
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2016
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Monica Conti
Valeria Danese
Claudio Giorgi
Vittorino Pata
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A quantitative Riemann-Lebesgue lemma with application to equations with memory
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2016
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Filippo DellâOro
Enrico Laeng
Vittorino Pata
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Averaging of equations of viscoelasticity with singularly oscillating external forces
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2016
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Đ. Đ. ЧДпŃĐ¶ĐŸĐČ
Monica Conti
Vittorino Pata
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Stability analysis of abstract systems of Timoshenko type
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2015
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Valeria Danese
Filippo DellâOro
Vittorino Pata
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PDF
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The BenjaminâBonaâMahony equation with dissipative memory
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2015
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Filippo DellâOro
Youcef Mammeri
Vittorino Pata
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Exponential attractors for abstract equations with memory and applications to viscoelasticity
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2015
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Valeria Danese
Pelin G. Geredeli
Vittorino Pata
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Stability analysis of abstract systems of Timoshenko type
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2015
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Valeria Danese
Filippo DellâOro
Vittorino Pata
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Exponential attractors for abstract equations with memory and applications to viscoelasticity
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2014
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Valeria Danese
Pelin G. Geredeli
Vittorino Pata
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PDF
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A Weak-L p ProdiâSerrin Type Regularity Criterion for the NavierâStokes Equations
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2014
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Stefano Bosia
Vittorino Pata
James C. Robinson
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Lack of Exponential Stability in Timoshenko Systems with Flat Memory Kernels
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2014
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Filippo DellâOro
Vittorino Pata
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On the stability of Timoshenko systems with GurtinâPipkin thermal law
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2014
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Filippo DellâOro
Vittorino Pata
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PDF
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Nonclassical diffusion with memory
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2014
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Monica Conti
Elsa M. Marchini
Vittorino Pata
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PDF
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A regularity criterion for the Navier-Stokes equations in terms of the pressure gradient
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2014
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Stefano Bosia
Monica Conti
Vittorino Pata
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PDF
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On the Green-Naghdi Type III heat conduction model
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2014
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Claudio Giorgi
Diego Grandi
Vittorino Pata
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PDF
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Totally dissipative dynamical processes and their uniform global attractors
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2014
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Vladimir V. Chepyzhov
Monica Conti
Vittorino Pata
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Exponential attractors for abstract equations with memory and applications to viscoelasticity
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2014
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Valeria Danese
Pelin G. Geredeli
Vittorino Pata
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Stability properties of an abstract system with applications to linear thermoelastic plates
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2013
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Filippo DellâOro
Jaime E. Muñoz Rivera
Vittorino Pata
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Global attractors for nonlinear viscoelastic equations with memory
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2013
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Monica Conti
Elsa M. Marchini
Vittorino Pata
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Timoshenko systems with fading memory
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2013
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Monica Conti
Filippo DellâOro
Vittorino Pata
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PDF
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A well posedness result for nonlinear viscoelastic equations with memory
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2013
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Monica Conti
Elsa M. Marchini
Vittorino Pata
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Attractors for processes on time-dependent spaces. Applications to wave equations
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2013
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Monica Conti
Vittorino Pata
Roger TĂ©mam
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Totally dissipative dynamical processes and their uniform global attractors
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2013
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Vladimir V. Chepyzhov
Monica Conti
Vittorino Pata
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On the stability of Timoshenko systems with Gurtin-Pipkin thermal law
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2013
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Filippo DellâOro
Vittorino Pata
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Exponential stability for a class of linear hyperbolic equations with hereditary memory
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2013
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Monica Conti
Elsa M. Marchini
Vittorino Pata
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PDF
Chat
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Timoshenko systems with fading memory
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2013
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Monica Conti
Filippo DellâOro
Vittorino Pata
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Totally dissipative dynamical processes and their uniform global attractors
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2013
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Vladimir V. Chepyzhov
Monica Conti
Vittorino Pata
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Global attractors for nonlinear viscoelastic equations with memory
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2013
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Monica Conti
Elsa M. Marchini
Vittorino Pata
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On the stability of Timoshenko systems with Gurtin-Pipkin thermal law
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2013
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Filippo DellâOro
Vittorino Pata
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Timoshenko systems with fading memory
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2013
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Monica Conti
Filippo DellâOro
Vittorino Pata
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Energy decay of type III linear thermoelastic plates with memory
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2012
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Michele Coti Zelati
Filippo DellâOro
Vittorino Pata
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Attractors for processes on time-dependent spaces. Applications to wave equations
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2012
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Monica Conti
Vittorino Pata
Roger TĂ©mam
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Strongly damped wave equations with critical nonlinearities
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2012
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Filippo DellâOro
Vittorino Pata
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PDF
Chat
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A minimal approach to the theory of global attractors
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2012
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Vladimir V. Chepyzhov
Monica Conti
Vittorino Pata
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On the regularity of solutions to the Navier-Stokes equations
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2012
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Vittorino Pata
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Attractors for processes on time-dependent spaces. Applications to wave equations
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2012
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Monica Conti
Vittorino Pata
Roger TĂ©mam
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Long-term analysis of strongly damped nonlinear wave equations
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2011
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Filippo DellâOro
Vittorino Pata
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A fixed point theorem in metric spaces
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2011
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Vittorino Pata
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A convergenceâdivergence test for series of nonnegative terms
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2011
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Enrico Laeng
Vittorino Pata
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PDF
Chat
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Asymptotics of the Coleman-Gurtin model
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2010
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Mickaël D. Chekroun
Francesco Di Plinio
Nathan Glatt-Holtz
Vittorino Pata
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PDF
Chat
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Two-dimensional reaction-diffusion equations with memory
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2010
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Monica Conti
Stefania Gatti
Maurizio Grasselli
Vittorino Pata
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Uniform estimates of Gronwall type
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2010
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Vittorino Pata
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Continuous families of exponential attractors for singularly perturbed equations with memory
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2010
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Stefania Gatti
Alain Miranville
Vittorino Pata
Sergey Zelik
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PDF
Chat
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A New Approach to Equations with Memory
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2010
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Mauro Fabrizio
Claudio Giorgi
Vittorino Pata
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Semilinear wave equations of viscoelasticity in the minimal state framework
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2010
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Monica Conti
Elsa M. Marchini
Vittorino Pata
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PDF
Chat
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Exponential stability in linear viscoelasticity with almost flat memory kernels
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2010
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Vittorino Pata
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Asymptotics of the Coleman-Gurtin model
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2010
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Mickaël D. Chekroun
Francesco Di Plinio
Nathan Glatt-Holtz
Vittorino Pata
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PDF
Chat
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Gradient systems of closed operators
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2009
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Vittorino Pata
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Stability and exponential stability in linear viscoelasticity
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2009
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Vittorino Pata
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Global attractors for the extensible thermoelastic beam system
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2009
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Claudio Giorgi
Maria Grazia Naso
Vittorino Pata
Mykhailo Potomkin
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Robust exponential attractors for the strongly damped wave equation with memory. II
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2009
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Francesco Di Plinio
Vittorino Pata
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PDF
Chat
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Asymptotics of the Coleman-Gurtin model
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2009
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Mickaël D. Chekroun
Francesco Di Plinio
Nathan Glatt-Holtz
Vittorino Pata
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On the regularity of global attractors
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2009
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Monica Conti
Vittorino Pata
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Global Attractors for an Extensible Thermoelastic Beam System
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2009
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Claudio Giorgi
Maria Grazia Naso
Vittorino Pata
Mykhailo Potomkin
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On the regularity of global attractors
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2009
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Monica Conti
Vittorino Pata
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Averaging of 2D NavierâStokes equations with singularly oscillating forces
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2008
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Vladimir V. Chepyzhov
Vittorino Pata
M. I. Vishik
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Time averaging of global attractors for nonautonomous wave equations with singularly oscillating external forces
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2008
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M. I. Vishik
Vittorino Pata
Đ. Đ. ЧДпŃĐ¶ĐŸĐČ
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Robust exponential attractors for the strongly damped wave equation with memory. I
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2008
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Francesco Di Plinio
Vittorino Pata
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Averaging of nonautonomous damped wave equations with singularly oscillating external forces
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2008
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Vladimir V. Chepyzhov
Vittorino Pata
M. I. Vishik
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A Gronwall-type lemma with parameter and dissipative estimates for PDEs
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2008
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Stefania Gatti
Vittorino Pata
Sergey Zelik
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On the strongly damped wave equation with memory
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2008
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Vittorino Pata
Francesco Di Plinio
Sergey Zelik
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UNIFORM DECAY PROPERTIES OF LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS
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2007
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Monica Conti
Stefania Gatti
Vittorino Pata
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Decay rates of Volterra equations on â N
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2007
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Monica Conti
Stefania Gatti
Vittorino Pata
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PDF
Chat
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A result on the existence of global attractors for semigroups of closed operators
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2007
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Vittorino Pata
Sergey Zelik
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Exponential attractors for singularly perturbed damped wave equations: A simple construction
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2007
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Alain Miranville
Vittorino Pata
Sergey Zelik
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A ONE-DIMENSIONAL WAVE EQUATION WITH NONLINEAR DAMPING
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2006
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Stefania Gatti
Vittorino Pata
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Global attractors for semigroups of closed operators
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2006
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Vittorino Pata
Sergey Zelik
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A remark on the weakly damped wave equation
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2006
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Vittorino Pata
Sergey Zelik
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Smooth attractors for strongly damped wave equations
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2006
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Vittorino Pata
Sergey Zelik
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MEMORY RELAXATION OF THE ONE-DIMENSIONAL CAHN-HILLIARD EQUATION
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2006
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Stefania Gatti
Maurizio Grasselli
Alain Miranville
Vittorino Pata
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Global and exponential attractors for 3âD wave equations with displacement dependent damping
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2006
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Vittorino Pata
Sergey Zelik
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Stability of abstract linear semigroups arising from heat conduction with memory
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2006
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Vladimir V. Chepyzhov
Edoardo Mainini
Vittorino Pata
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A remark on the damped wave equation
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2006
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Vittorino Pata
Sergey Zelik
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Some remarks on stability of semigroups arising from linear viscoelasticity
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2006
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Đ. Đ. ЧДпŃĐ¶ĐŸĐČ
Vittorino Pata
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ENERGY DECAY OF ELECTROMAGNETIC SYSTEMS WITH MEMORY
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2005
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Claudio Giorgi
Maria Grazia Naso
Vittorino Pata
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SINGULAR LIMIT OF DISSIPATIVE HYPERBOLIC EQUATIONS WITH MEMORY
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2005
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Monica Conti
Vittorino Pata
Marco Squassina
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Weakly dissipative semilinear equations of viscoelasticity
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2005
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Monica Conti
Vittorino Pata
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On the semilinear wave equation with locally distributed nonlinear damping
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2005
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Alain Miranville
Vittorino Pata
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STRONGLY DAMPED WAVE EQUATIONS ON R3 WITH CRITICAL NONLINEARITIES
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2005
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Monica Conti
Vittorino Pata
Marco Squassina
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Singular limit of dissipative hyperbolic equations with memory
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2005
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Monica Conti
Vittorino Pata
Marco Squassina
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On the Strongly Damped Wave Equation
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2004
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Vittorino Pata
Marco Squassina
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On the damped semilinear wave equation with critical exponent
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2003
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Maurizio Grasselli
Vittorino Pata
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Some measurability and continuity properties of arbitrary real functions
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2002
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Vittorino Pata
Alfonso Villani
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Global Attractors for a Semilinear Hyperbolic Equation in Viscoelasticity
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2001
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Claudio Giorgi
Jaime E. Muñoz Rivera
Vittorino Pata
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Hyperbolic Limit of Parabolic Semilinear Heat Equations with Fading Memory
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2001
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Vittorino Pata
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Asymptotic behavior of a nonlinear hyperbolic heat equation with memory
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2001
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Claudio Giorgi
Vittorino Pata
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Attractors for semilinear strongly damped wave equations on $\mathbb R^3$
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2001
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Veronica Belleri
Vittorino Pata
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Longtime behavior of semilinear reaction-diffusion equations on the whole space
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2001
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Vittorino Pata
Claudio Santina
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Functions of regular variation and freely stable laws
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2000
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Hari Bercovici
Vittorino Pata
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Hyperinvariant subspaces ofC 0-operators over a multiply connected region
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2000
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Vittorino Pata
Adele Zucchi
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Attractors for a damped wave equation on ?3 with linear memory
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2000
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Vittorino Pata
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On the Reflexivity of Operator Algebras with Isometric Functional Calculus
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2000
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Vittorino Pata
Ken Xiaojun Zheng
Adele Zucchi
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Reflexivity of C_0 operators over a multiply connected region
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2000
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Vittorino Pata
Adele Zucchi
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Combinatorial and topological aspects of measure preserving homomorphisms
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2000
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Alfio Giarlotta
Vittorino Pata
Pietro Ursino
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Limit laws for products of free and independent random variables
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2000
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Hari Bercovici
Vittorino Pata
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A free analogue of Hincinâs characterization of infinite divisibility
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1999
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Hari Bercovici
Vittorino Pata
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Stable Laws and Domains of Attraction in Free Probability Theory
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1999
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Hari Bercovici
Vittorino Pata
Philippe Biane
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Stable laws and domains of attraction in free probability theory
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1999
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Hari Bercovici
Vittorino Pata
Philippe Biane
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Uniform attractors for a strongly damped wave equation with linear memory
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1999
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Silvia Borini
Vittorino Pata
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Stable laws and domains of attraction in free probability theory
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1999
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Hari Bercovici
Vittorino Pata
Philippe Biane
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Asymptotic behavior of a semilinear problem in heat conduction with memory
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1998
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Claudio Giorgi
Vittorino Pata
Alfredo Marzocchi
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Traveling waves of dissipative nonautonomous hyperbolic equations in a strip
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1998
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Vittorino Pata
Giovanni Prouse
Mark Vishik
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Some weak laws of large numbers in noncommutative probability
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1997
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J. Martin Lindsay
Vittorino Pata
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Domains of partial attraction in noncommutative probability
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1996
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Vittorino Pata
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The Central Limit Theorem for Free Additive Convolution
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1996
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Vittorino Pata
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A generalized weak law of large numbers for noncommuting random variables
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1996
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Vittorino Pata
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The law of large numbers for free identically distributed random variables
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1996
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Hari Bercovici
Vittorino Pata
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Classical versus free domains of attraction
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1995
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Hari Bercovici
Vittorino Pata
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LĂ©vy type characterization of stable laws for free random variables
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1995
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Vittorino Pata
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