Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions

Moez Daoulatli;  ; Irena Lasiecka; Daniel Toundykov;  ;

doi:10.3934/dcdss.2009.2.67

Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2009.2.67 ◽

2009 ◽

Vol 2 (1) ◽

pp. 67-94 ◽

Cited By ~ 34

Author(s):

Moez Daoulatli ◽

◽

Irena Lasiecka ◽

Daniel Toundykov ◽

◽

...

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Energy Decay ◽

Boundary Dissipation ◽

Growth Restrictions

Download Full-text

Energy Decay in H 2 × L 2 for Semilinear Plates with Nonlinear Boundary Dissipation Acting via Moments Only

Applied Optimization - Optimal Control ◽

10.1007/978-1-4757-6095-8_11 ◽

1998 ◽

pp. 224-249 ◽

Cited By ~ 1

Author(s):

Guangcao Ji ◽

Irena Lasiecka

Keyword(s):

Nonlinear Boundary ◽

Energy Decay ◽

Boundary Dissipation

Download Full-text

Energy decay estimates for a wave equation with nonlinear boundary feedback

Glasnik Matematicki ◽

10.3336/gm.43.2.10 ◽

2008 ◽

Vol 43 (2) ◽

pp. 375-386

Author(s):

Mohammad Cherkaoui

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Energy Decay ◽

Decay Estimates ◽

Boundary Feedback ◽

Nonlinear Boundary Feedback

Download Full-text

The energy decay for a wave equation with nonlinear boundary memory and damping source

International Journal of Mathematical Analysis ◽

10.12988/ijma.2013.13120 ◽

2013 ◽

Vol 7 ◽

pp. 1217-1224

Author(s):

Mingxia Zhao ◽

Lingrui Zhang

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Energy Decay

Download Full-text

Energy decay and periodic solution for the wave equation in an exterior domain with half-linear and nonlinear boundary dissipations

Nonlinear Analysis ◽

10.1016/j.na.2005.11.026 ◽

2007 ◽

Vol 66 (2) ◽

pp. 301-323 ◽

Cited By ~ 5

Author(s):

Mitsuhiro Nakao ◽

Jeong Ja Bae

Keyword(s):

Periodic Solution ◽

Wave Equation ◽

Exterior Domain ◽

Nonlinear Boundary ◽

Energy Decay ◽

Linear And Nonlinear

Download Full-text

Global nonexistence for a semilinear wave equation with nonlinear boundary dissipation

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2012.02.013 ◽

2012 ◽

Vol 391 (1) ◽

pp. 255-264 ◽

Cited By ~ 4

Author(s):

Hongyinping Feng ◽

Shengjia Li

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Semilinear Wave Equation ◽

Global Nonexistence ◽

Boundary Dissipation

Download Full-text

Energy Decay of Solutions to a Wave Equation with a Dynamic Boundary Dissipation of Fractional Derivative Type

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/1616 ◽

2018 ◽

Vol 37 (3) ◽

pp. 315-339 ◽

Cited By ~ 3

Author(s):

Abbes Benaissa ◽

Hanane Benkhedda

Keyword(s):

Wave Equation ◽

Fractional Derivative ◽

Energy Decay ◽

Dynamic Boundary ◽

Decay Of Solutions ◽

Derivative Type ◽

Boundary Dissipation

Download Full-text

On the attractor for a semilinear wave equation with variable coefficients and nonlinear boundary dissipation

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2021043 ◽

2021 ◽

Vol 0 (0) ◽

pp. 0

Author(s):

Jiacheng Wang ◽

Peng-Fei Yao

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Variable Coefficients ◽

Semilinear Wave Equation ◽

Boundary Dissipation

Download Full-text

ON THE ATTRACTOR FOR A SEMILINEAR WAVE EQUATION WITH CRITICAL EXPONENT AND NONLINEAR BOUNDARY DISSIPATION

Communications in Partial Differential Equations ◽

10.1081/pde-120016132 ◽

2002 ◽

Vol 27 (9-10) ◽

pp. 1901-1951 ◽

Cited By ~ 75

Author(s):

Igor Chueshov ◽

Matthias Eller ◽

Irena Lasiecka

Keyword(s):

Wave Equation ◽

Critical Exponent ◽

Nonlinear Boundary ◽

Semilinear Wave Equation ◽

Boundary Dissipation

Download Full-text

Energy decay and blow-up of solutions for a viscoelastic equation with nonlocal nonlinear boundary dissipation

Journal of Mathematical Physics ◽

10.1063/5.0051570 ◽

2021 ◽

Vol 62 (6) ◽

pp. 061505

Author(s):

Donghao Li ◽

Hongwei Zhang ◽

Qingying Hu

Keyword(s):

Nonlinear Boundary ◽

Blow Up ◽

Energy Decay ◽

Viscoelastic Equation ◽

Boundary Dissipation ◽

Nonlocal Nonlinear

Download Full-text

General Energy Decay of Solutions for a Wave Equation with Nonlocal Damping and Nonlinear Boundary Damping

Journal of Partial Differential Equations ◽

10.4208/jpde.v32.n4.6 ◽

2019 ◽

Vol 32 (4) ◽

pp. 369-380

Author(s):

Donghao Li sci

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Energy Decay ◽

Boundary Damping ◽

Decay Of Solutions ◽

General Energy

Download Full-text