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Existence and asymptotic stability for the wave equation on compact manifolds with nonlinearities of arbitrary growth
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2024
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
José Guilherme Simion Antunes
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+
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Exponential decay for the quintic wave equation with locally distributed damping
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2024
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
André Vicente
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+
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Exponential Stabilization of a Semi Linear Third Order in Time Equation with Memory
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2024
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Mauricio Barbosa da Silva
V. N. Domingos Cavalcanti
Eduardo H. Gomes Tavares
T. Saito Tavares
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+
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Stabilization of hyperbolic problems with localized damping in unbounded domains
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2024
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Victor H. Gonzalez Martinez
Talita Druziani Marchiori
André Vicente
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+
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Uniform decay rate estimates for the 2D wave equation posed in an inhomogeneous medium with exponential growth source term, locally distributed nonlinear dissipation, and dynamic CauchyâVentcelâtype boundary conditions
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2023
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José Guilherme Simion Antunes
Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
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Exponential decay estimates for the damped defocusing Schrödinger equation in exterior domains
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2023
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Marcelo M. Cavalcanti
Wellington JosĂ© CorrĂȘa
V. N. Domingos Cavalcanti
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+
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Exponential Stability for the 2D Wave Model with Localized Memory in a Past History Framework and Nonlinearity of Arbitrary Growth
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2022
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José Guilherme Simion Antunes
Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
André Vicente
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Decay Rate Estimates for the Wave Equation with Subcritical Semilinearities and Locally Distributed Nonlinear Dissipation
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2022
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Victor H. Gonzalez Martinez
TĂŒrker Ăzsarı
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+
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Stability for a nonlinear hyperbolic equation with time-dependent coefficients and boundary damping
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2022
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
André Vicente
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PDF
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Well-Posedness and Stability for Schrödinger Equations with Infinite Memory
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2022
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Aissa Guesmia
MaurĂcio SepĂșlveda
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+
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Stability for the wave equation in an unbounded domain with finite measure and with nonlinearities of arbitrary growth
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2022
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
José Guilherme Simion Antunes
André Vicente
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Uniform stabilization for a strongly coupled semilinear/linear system
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2022
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Dilberto da Silva Almeida JĂșnior
Victor H. Gonzalez Martinez
Mauro de Lima Santos
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+
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Semi-classical defect measure and internal stabilization for the semilinear wave equation subject to Zarembaboundary conditions
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2021
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Marcelo M. Cavalcanti
Pierre Cornilleau
Valéria Domingos Cavalcanti
Luc Robbiano
Valéria Domingos Cavalcanti
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Well-Posedness and Uniform Decay Rates for a Nonlinear Damped Schrödinger-Type Equation
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2021
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
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+
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Uniform stability for a semilinear non-homogeneous Timoshenko system with localized nonlinear damping
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2021
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Marcelo M. Cavalcanti
Wellington JosĂ© CorrĂȘa
V. N. Domingos Cavalcanti
Marcio A. Jorge Silva
Janaina P. Zanchetta
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+
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Uniform decay rate estimates for the beam equation with locally distributed nonlinear damping
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2021
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Marcelo M. Cavalcanti
Leonel G. Delatorre
V. N. Domingos Cavalcanti
Victor H. Gonzalez Martinez
Daiane C. Soares
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+
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Stability for extensible beams with a single degenerate nonlocal damping of Balakrishnan-Taylor type
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2021
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Marcio A. Jorge Silva
Vando Narciso
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Exponential stability for a transmission problem of a nonlinear viscoelastic wave equation
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2021
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Emanuela R. S. Coelho
V. N. Domingos Cavalcanti
Vinicius A. Peralta
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+
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Uniform decay rate estimates for the wave equation with subcritical semilinearities and locally distributed nonlinear dissipation
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2020
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Victor H. Gonzalez Martinez
TĂŒrker Ăzsarı
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+
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Uniform decay rate estimates for the wave equation in an inhomogeneous medium with simultaneous interior and boundary feedbacks
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2020
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Marcelo M. Cavalcanti
Wellington JosĂ© CorrĂȘa
V. N. Domingos Cavalcanti
J.C.O. Faria
Sabeur Mansouri
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+
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Stability for semilinear hyperbolic coupled system with frictional and viscoelastic localized damping
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2020
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Victor H. Gonzalez Martinez
Vinicius A. Peralta
André Vicente
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+
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Stability for Semilinear Wave Equation in an Inhomogeneous Medium with Frictional Localized Damping and Acoustic Boundary Conditions
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2020
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
C.L. Frota
André Vicente
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+
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Decay rate estimates for the wave equation with subcritical semilinearities and locally distributed nonlinear dissipation
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2020
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Victor H. Gonzalez Martinez
TĂŒrker Ăzsarı
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+
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Asymptotic stability for a strongly coupled Klein-Gordon system in an inhomogeneous medium with locally distributed damping
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2019
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Sabeur Mansouri
Victor H. Gonzalez Martinez
Zayd Hajjej
Maria Rosario Astudillo Rojas
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+
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Exponential decay for the semilinear wave equation with localized Kelvin-Voight damping
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2019
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Maria Rosario Astudillo Rojas
Marcelo M. Cavalcanti
Wellington JosĂ© CorrĂȘa
V. N. Domingos Cavalcanti
Victor H. Gonzalez Martinez
André Vicente
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+
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Boundary Control for a Generalized Wave Equation -- Revisiting Russell's Method of Control
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2019
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MarĂa Astudillo
Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Victor H. Gonzalez Martinez
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PDF
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Preface to the Recent Themes on Controllability and Stability of PDEâs
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2019
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
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+
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Exponential Stability for a Transmission Problem of a Viscoelastic Wave Equation
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2018
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Marcelo M. Cavalcanti
Emanuela R. S. Coelho
V. N. Domingos Cavalcanti
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+
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Uniform decay rate estimates for the semilinear wave equation in inhomogeneous medium with locally distributed nonlinear damping
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2018
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Ryuichi Fukuoka
Ademir B. Pampu
MarĂa Astudillo
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+
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Asymptotic behavior of cubic defocusing Schrödinger equations on compact surfaces
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2018
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Marcelo M. Cavalcanti
Wellington JosĂ© CorrĂȘa
V. N. Domingos Cavalcanti
Maria Rosario Astudillo Rojas
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+
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Exponential stability for the wave model with localized memory in a past history framework
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2018
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Marcio A. Jorge Silva
A.Y. Souza Franco
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Stability for the Mixed Problem Involving the Wave Equation, with Localized Damping, in Unbounded Domains with Finite Measure
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2018
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Marcelo M. Cavalcanti
FlĂĄvio R. Dias Silva
V. N. Domingos Cavalcanti
André Vicente
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+
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Exponential stability for the wave equation with degenerate nonlocal weak damping
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2017
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Marcio A. Jorge Silva
Claudete M. Webler
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+
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Exponential Asymptotic Stability for the Klein Gordon Equation on Non-compact Riemannian Manifolds
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2017
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CĂ©sar Augusto Bortot
Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Paolo Piccione
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+
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Well-posedness and energy decay estimates in the Cauchy problem for the damped defocusing Schrödinger equation
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2016
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Marcelo M. Cavalcanti
Wellington JosĂ© CorrĂȘa
V. N. Domingos Cavalcanti
Louis Tebou
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+
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On long time behavior of Moore-Gibson-Thompson equation with molecular relaxation
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2016
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V. N. Domingos Cavalcanti
Irena Lasiecka
A. H. Caixeta
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+
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Global attractors for a third order in time nonlinear dynamics
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2016
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A. H. Caixeta
Irena Lasiecka
V. N. Domingos Cavalcanti
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+
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Numerical analysis for the wave equation with locally nonlinear distributed damping
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2016
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V. N. Domingos Cavalcanti
José H. Rodrigues
Carole Rosier
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+
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Weak stability for coupled wave and/or Petrovsky systems with complementary frictional damping and infinite memory
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2015
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Aissa Guesmia
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Uniform Decay Rates for the Wave Equation with Nonlinear Damping Locally Distributed in Unbounded Domains with Finite Measure
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2014
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Marcelo M. Cavalcanti
FlĂĄvio R. Dias Silva
V. N. Domingos Cavalcanti
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PDF
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Intrinsic decay rate estimates for the wave equation with competing viscoelastic and frictional dissipative effects
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2014
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Irena Lasiecka
FlĂĄvio A. FalcĂŁo Nascimento
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PDF
Chat
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Global well-posedness and exponential decay rates for a KdVâBurgers equation with indefinite damping
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2013
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Vilmos Komornik
José H. Rodrigues
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Unified Approach to Stabilization of Waves on Compact Surfaces by Simultaneous Interior and Boundary Feedbacks of Unrestricted Growth
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2013
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Ryuichi Fukuoka
Daniel Toundykov
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+
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Uniform decay rate estimates for Schrödinger and plate equations with nonlinear locally distributed damping
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2013
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CĂ©sar Augusto Bortot
Marcelo M. Cavalcanti
Wellington JosĂ© CorrĂȘa
V. N. Domingos Cavalcanti
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Decay of Solutions to Damped Kortewegâde Vries Type Equation
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2011
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Andrei V. Faminskii
FĂĄbio Natali
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+
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Qualitative aspects for the cubic nonlinear Schrödinger equations with localized damping: Exponential and polynomial stabilization
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2010
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
J.A. Soriano
FĂĄbio Natali
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+
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Asymptotic Stability of the Wave Equation on Compact Manifolds and Locally Distributed Damping: A Sharp Result
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2010
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Ryuichi Fukuoka
J.A. Soriano
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PDF
Chat
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Exponential stability for the $2$-D defocusing Schrödinger equation with locally distributed damping
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2009
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Ryuichi Fukuoka
FĂĄbio Natali
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+
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Stabilization of the damped wave equation with CauchyâVentcel boundary conditions
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2009
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Ryuichi Fukuoka
Daniel Toundykov
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+
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Exponential Decay Rates for the Damped Korteweg-de Vries Type Equation
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2009
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
FĂĄbio Natali
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PDF
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On existence, uniform decay rates and blow up for solutions of systems of nonlinear wave equations with damping and source terms
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2009
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Claudianor O. Alves
Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Mohammad A. Rammaha
Daniel Toundykov
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+
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Uniform stabilization of the wave equation on compact manifolds and locally distributed damping â a sharp result
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2008
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Ryuichi Fukuoka
J.A. Soriano
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PDF
Chat
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Uniform decay for the coupled Klein-Gordon-Schrödinger equations with locally distributed damping
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2008
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Vanilde Bisognin
Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
J.A. Soriano
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PDF
Chat
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Uniform Stabilization of the Wave Equation on Compact Surfaces and Locally Distributed Damping
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2008
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M. C. O. Cavalcanti
V. N. Domingos Cavalcanti
Ryuichi Fukuoka
J.A. Soriano
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+
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Uniform Stabilization of the wave equation on compact surfaces and locally distributed damping
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2008
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Ryuichi Fukuoka
J.A. Soriano
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+
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Asymptotic stability of the wave equation on compact surfaces and locally distributed damping - A sharp result
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2008
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Ryuichi Fukuoka
J.A. Soriano
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+
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Well-posedness and optimal decay rates for the wave equation with nonlinear boundary dampingâsource interaction
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2007
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Irena Lasiecka
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+
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General decay rate estimates for viscoelastic dissipative systems
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2006
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Patrick MartĂnez
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+
PDF
Chat
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Uniform Decay Rates of Solutions to a Nonlinear Wave Equation with Boundary Condition of Memory Type
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2006
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
M.L. Santos
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+
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Global Solvability and Asymptotic Stability for the Wave Equation with Nonlinear Boundary Damping and Source Term
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2005
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
J.A. Soriano
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+
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GLOBAL EXISTENCE AND ASYMPTOTIC STABILITY FOR THE NONLINEAR AND GENERALIZED DAMPED EXTENSIBLE PLATE EQUATION
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2004
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
J.A. Soriano
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+
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Existence and decay rate estimates for the wave equation with nonlinear boundary damping and source term
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2004
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Patrick MartĂnez
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+
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Existence and asymptotic stability for evolution problems on manifolds with damping and source terms
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2004
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
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PDF
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Exponential decay of the viscoelastic Euler-Bernoulli equation with a nonlocal dissipation in general domains
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2004
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
To Fu
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+
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EXISTENCE AND ASYMPTOTIC BEHAVIOUR FOR THE SOLUTIONS OF THE COUPLED KLEIN-GORDON-SCHRĂDINGER EQUATIONS
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2003
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V. N. Domingos Cavalcanti
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Existence and uniform decay rates of solutions to a degenerate system with memory conditions at the boundary
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2003
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
M.L. Santos
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On global solvability and asymptotic behaviour of a mixed problem for a nonlinear degenerate Kirchhoff model in moving domains
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2003
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Rachid Benabidallah
Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Jane Zoppas Ferreira
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+
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On existence and asymptotic stability of solutions of the degenerate wave equation with nonlinear boundary conditions
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2003
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
J.A. Soriano
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+
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Existence and uniform decay of the wave equation with nonlinear boundary damping and boundary memory source term
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2002
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M. Aassila
Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
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+
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Exponential decay for the solution of semilinear viscoelastic wave equations with localized damping
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2002
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
J.A. Soriano
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PDF
Chat
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Global existence and asymptotic stability for viscoelastic problems
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2002
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
To Fu
J.A. Soriano
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PDF
Chat
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Existence and uniform decay of solutions of a parabolic-hyperbolic equation with nonlinear boundary damping and boundary source term
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2002
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
J. Silva Filho
J.A. Soriano
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+
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Existence and uniform decay for a nonâlinear viscoelastic equation with strong damping
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2001
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Jorge Ferreira
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Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation
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2001
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
J.A. Soriano
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PDF
Chat
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Existence and asymptotic behaviour for a degenerate kirchhoff-carrier model with viscosity and nonlinear boundary conditions
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2001
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
J.A. Soriano
J. Silva Filho
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+
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Global existence and uniform decay for the coupled Klein-Gordon-Schrödinger equations
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2000
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
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+
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On the Existence and the Uniform Decay of a Hyperbolic Equation with Non-Linear Boundary Conditions
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2000
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
J.A. Soriano
L.A. Medeiros
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+
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On the Existence and the Uniform Decay of a Hyperbolic Equation with Non-Linear Boundary Conditions
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2000
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
J.A. Soriano
L. A. Medeiros
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On solvability of solutions of degenerate nonlinear equations on manifolds
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2000
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
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+
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Existence and uniform decay of solutions of a degenerate equation with nonlinear boundary damping and boundary memory source term
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1999
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
J. Silva Filho
J.A. Soriano
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+
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Existence and Exponential Decay for a KirchhoffâCarrier Model with Viscosity
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1998
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
J. Silva Filho
J.A. Soriano
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Exact controllability of a second order integro-differential equation with a pressure term
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1998
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
Ăngela Sanches Rocha
J.A. Soriano
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Existence and boundary stabilization of a nonlinear hyperbolic equation with time-dependent coefficients
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1998
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Marcelo M. Cavalcanti
V. N. Domingos Cavalcanti
J.A. Soriano
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Behaviour near the boundary for solutions of elasticity systems
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1997
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V. N. Domingos Cavalcanti
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