Eventual regularity of a wave equation with boundary dissipation

Kangsheng Liu;  ; Xu Liu; Bopeng Rao;  ;

doi:10.3934/mcrf.2012.2.17

Eventual regularity of a wave equation with boundary dissipation

Mathematical Control & Related Fields ◽

10.3934/mcrf.2012.2.17 ◽

2012 ◽

Vol 2 (1) ◽

pp. 17-28

Author(s):

Kangsheng Liu ◽

◽

Xu Liu ◽

Bopeng Rao ◽

◽

...

Keyword(s):

Wave Equation ◽

Boundary Dissipation ◽

Eventual Regularity

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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

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Global smooth solutions for the quasilinear wave equation with boundary dissipation

Journal of Differential Equations ◽

10.1016/j.jde.2007.06.014 ◽

2007 ◽

Vol 241 (1) ◽

pp. 62-93 ◽

Cited By ~ 35

Author(s):

Peng-Fei Yao

Keyword(s):

Wave Equation ◽

Smooth Solutions ◽

Quasilinear Wave Equation ◽

Global Smooth Solutions ◽

Boundary Dissipation

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Exponential growth for wave equation with fractional boundary dissipation and boundary source term

Boundary Value Problems ◽

10.1186/s13661-014-0138-y ◽

2014 ◽

Vol 2014 (1) ◽

Cited By ~ 1

Author(s):

Huiya Dai ◽

Hongwei Zhang

Keyword(s):

Wave Equation ◽

Exponential Growth ◽

Source Term ◽

Boundary Source ◽

Boundary Dissipation

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Wave equation on a bounded domain with boundary dissipation: An operator approach

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(89)90255-2 ◽

1989 ◽

Vol 137 (2) ◽

pp. 438-461 ◽

Cited By ~ 62

Author(s):

R Triggiani

Keyword(s):

Wave Equation ◽

Bounded Domain ◽

Operator Approach ◽

Boundary Dissipation

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Global existence uniqueness and decay estimates for nonlinear viscoelastic wave equation with boundary dissipation

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2010.11.009 ◽

2011 ◽

Vol 12 (3) ◽

pp. 1759-1773 ◽

Cited By ~ 22

Author(s):

Fushan Li ◽

Zengqin Zhao ◽

Yanfu Chen

Keyword(s):

Wave Equation ◽

Global Existence ◽

Decay Estimates ◽

Viscoelastic Wave Equation ◽

Nonlinear Viscoelastic ◽

Viscoelastic Wave ◽

Boundary Dissipation

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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

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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

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Blow up of positive initial energy solutions for a wave equation with fractional boundary dissipation

Applied Mathematics Letters ◽

10.1016/j.aml.2011.04.030 ◽

2011 ◽

Vol 24 (10) ◽

pp. 1729-1734 ◽

Cited By ~ 1

Author(s):

Liqing Lu ◽

Shengjia Li

Keyword(s):

Wave Equation ◽

Blow Up ◽

Initial Energy ◽

Positive Initial Energy ◽

Boundary Dissipation

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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

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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

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