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Jun‐Ren Luo
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All published works
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Sharp $L^1$-convergence rates to the Barenblatt solutions for the compressible Euler equations with time-varying damping
2024
Jun‐Ren Luo
Ti‐Jun Xiao
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PDF
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Sharper L^1-convergence rates of weak entropy solutions to damped compressible Euler equations
2024
Jun‐Ren Luo
Ti‐Jun Xiao
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PDF
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Optimal convergence rate of inertial gradient system with flat geometries and perturbations
2024
Jiahui Cai
Jun‐Ren Luo
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PDF
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Correction to: Optimal Convergence Rates for Damped Inertial Gradient Dynamics with Flat Geometries
2023
Jun‐Ren Luo
Ti‐Jun Xiao
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Optimal Convergence Rates for Damped Inertial Gradient Dynamics with Flat Geometries
2023
Jun‐Ren Luo
Ti‐Jun Xiao
+
Optimal decay rates for semi-linear non-autonomous evolution equations with vanishing damping
2023
Jun‐Ren Luo
Ti‐Jun Xiao
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Asymptotic stability of intermittently damped semi-linear hyperbolic-type equations
2022
Jun‐Ren Luo
Ti‐Jun Xiao
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PDF
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Optimal energy decay rates for abstract second order evolution equations with non-autonomous damping
2021
Jun‐Ren Luo
Ti‐Jun Xiao
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Decay rates for semilinear wave equations with vanishing damping and Neumann boundary conditions
2020
Jun‐Ren Luo
Ti‐Jun Xiao
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Decay rates for second order evolution equations in Hilbert spaces with nonlinear time-dependent damping
2019
Jun‐Ren Luo
Ti‐Jun Xiao
Common Coauthors
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Papers Together
Ti‐Jun Xiao
9
Jiahui Cai
1
Commonly Cited References
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Title
Year
Authors
# of times referenced
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PDF
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Decay rates for second order evolution equations in Hilbert spaces with nonlinear time-dependent damping
2019
Jun‐Ren Luo
Ti‐Jun Xiao
5
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Long time behavior for a semilinear hyperbolic equation with asymptotically vanishing damping term and convex potential
2015
Ramzi May
4
+
PDF
Chat
Asymptotic for the perturbed heavy ball system with vanishing damping term
2017
Mounir Balti
Ramzi May
4
+
Finding the exact decay rate of all solutions to some second order evolution equations with dissipation
2016
Marina Ghisi
Massimo Gobbino
Alain Haraux
4
+
Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity
2016
Hédy Attouch
Zaki Chbani
Juan Peypouquet
Patrick Redont
4
+
PDF
Chat
The Differential Inclusion Modeling FISTA Algorithm and Optimality of Convergence Rate in the Case b $\leq3$
2018
Apidopoulos Vassilis
Aujol Jean-François
Dossal Charles
3
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PDF
Chat
Optimal Convergence Rates for Nesterov Acceleration
2019
Jean–François Aujol
Charles Dossal
Aude Rondepierre
3
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Asymptotics for a second-order differential equation with nonautonomous damping and an integrable source term
2014
Mohamed Ali Jendoubi
Ramzi May
3
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PDF
Chat
Convergence Rates of Damped Inertial Dynamics under Geometric Conditions and Perturbations
2020
Othmane Sebbouh
Ch. Dossal
Aude Rondepierre
3
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Asymptotics for some semilinear hyperbolic equations with non-autonomous damping
2011
Alexandre Cabot
Pierre Frankel
3
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Asymptotic for a second-order evolution equation with convex potential andvanishing damping term
2017
Ramzi May
3
+
PDF
Chat
Asymptotic stabilization of inertial gradient dynamics with time-dependent viscosity
2017
Hédy Attouch
Alexandre Cabot
3
+
PDF
Chat
Rate of convergence of inertial gradient dynamics with time-dependent viscous damping coefficient
2018
Hédy Attouch
Alexandre Cabot
Zaki Chbani
Hassan Riahi
3
+
Semilinear Evolution Equations and Their Applications
2018
Toka Diagana
2
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PDF
Chat
Optimal decay estimates for the general solution to a class of semi-linear dissipative hyperbolic equations
2016
Marina Ghisi
Massimo Gobbino
Alain Haraux
2
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A Differential Equation for Modeling Nesterov's Accelerated Gradient Method: Theory and Insights
2015
Weijie Su
Stephen Boyd
Emmanuel J. Candès
2
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PDF
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From error bounds to the complexity of first-order descent methods for convex functions
2016
Jérôme Bolte
Trong Phong Nguyen
Juan Peypouquet
Bruce W. Suter
2
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Rate of convergence of the Nesterov accelerated gradient method in the subcritical case <i>α</i> ≤ 3
2017
Hédy Attouch
Zaki Chbani
Hassan Riahi
2
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Decay rates for semilinear wave equations with vanishing damping and Neumann boundary conditions
2020
Jun‐Ren Luo
Ti‐Jun Xiao
2
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Rates of decay for the wave systems with time dependent damping
2011
Moez Daoulatli
2
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Coupled second order evolution equations with fading memory: Optimal energy decay rate
2014
Kun‐Peng Jin
Jin Liang
Ti‐Jun Xiao
2
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PDF
Chat
Optimal energy decay rates for abstract second order evolution equations with non-autonomous damping
2021
Jun‐Ren Luo
Ti‐Jun Xiao
2
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Precise decay rate estimates for time-dependent dissipative systems
2000
Patrick Martínez
2
+
Slow and fast decay of solutions to some second order evolution equations
2005
Alain Haraux
2
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Coupled second order semilinear evolution equations indirectly damped via memory effects
2012
Ti‐Jun Xiao
Jin Liang
2
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Uniform stability of semilinear wave equations with arbitrary local memory effects versus frictional dampings
2018
Kun‐Peng Jin
Jin Liang
Ti‐Jun Xiao
2
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SEMIGROUPS OF LINEAR OPERATORS AND APPLICATIONS (Oxford Mathematical Monographs)
1986
E. B. Davies
1
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PDF
Chat
Optimal indirect stability of a weakly damped elastic abstract system of second order equations coupled by velocities
2019
Farah Abdallah
Mouhammad Ghader
Ali Wehbe
Yacine Chitour
1
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PDF
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New general decay results in a finite-memory bresse system
2019
Salim A. Messaoudi
Jamilu Hashim Hassan
1
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PDF
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On the convergence of the continuous gradient projection method
2019
Ramzi May
1
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PDF
Chat
Strichartz estimates and local regularity for the elastic wave equation with singular potentials
2020
Seongyeon Kim
Yehyun Kwon
Ihyeok Seo
1
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PDF
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First-order optimization algorithms via inertial systems with Hessian driven damping
2020
Hédy Attouch
Zaki Chbani
Jalal Fadili
Hassan Riahi
1
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PDF
Chat
Fast Convergence of Dynamical ADMM via Time Scaling of Damped Inertial Dynamics
2021
Hédy Attouch
Zaki Chbani
Jalal Fadili
Hassan Riahi
1
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PDF
Chat
On the decay in $ W^{1,\infty} $ for the 1D semilinear damped wave equation on a bounded domain
2021
Debora Amadori
Fatima Al-Zahrà Aqel
1
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PDF
Chat
Uniform polynomial stability of second order integro-differential equations in Hilbert spaces with positive definite kernels
2021
Kun‐Peng Jin
Jin Liang
Ti‐Jun Xiao
1
+
PDF
Chat
Blow–up for the wave equation with hyperbolic dynamical boundary conditions, interior and boundary nonlinear damping and sources
2021
Enzo Vitillaro
1
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PDF
Chat
Nonexistence of global solutions for a class of viscoelastic wave equations
2021
Jorge A. Esquivel‐Avila
1
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The Cauchy Problem for Higher Order Abstract Differential Equations
1998
Ti‐Jun Xiao
Jin Liang
1
+
Optimal Convergence Rates for Damped Inertial Gradient Dynamics with Flat Geometries
2023
Jun‐Ren Luo
Ti‐Jun Xiao
1
+
PDF
Chat
Exponential decay for the damped wave equation in unbounded domains
2016
Nicolas Burq
Romain Joly
1
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Attractors for infinite-dimensional non-autonomous dynamical systems
2012
Alexandre N. Carvalho
José A. Langa
James C. Robinson
1
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Sharp polynomial decay rates for the damped wave equation on the torus
2014
Nalini Anantharaman
Matthieu Léautaud
Stéphane Nonnenmacher
1
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Infinite-Horizon Linear-Quadratic Regulator Problems for Nonautonomous Parabolic Systems with Boundary Control
1996
Paolo Acquistapace
Brunello Terreni
1
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Some methods of speeding up the convergence of iteration methods
1964
B. T. Polyak
1
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On the long time behavior of second order differential equations with asymptotically small dissipation
2009
Alexandre Cabot
Hans Engler
Sébastien Gadat
1
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An abstract transmission problem in a thin layer, I: Sharp estimates
2011
Giovanni Dore
Angelo Favini
Rabah Labbas
Keddour Lemrabet
1
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A new method to obtain decay rate estimates for dissipative systems
1999
Patrick Martínez
1
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Nonautonomous semilinear second order evolution equations with generalized Wentzell boundary conditions
2011
Ti‐Jun Xiao
Jin Liang
1
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Approximation theorems for the propagators of higher order abstract Cauchy problems
2007
Jin Liang
Rainer Nagel
Ti‐Jun Xiao
1
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Asymptotic Stability for Intermittently Controlled Second-Order Evolution Equations
2005
Alain Haraux
Patrick Martínez
Judith Vancostenoble
1