Long-term dynamics of semilinear wave equation with nonlinear localized interior damping and a source term of critical exponent

Igor Chueshov;  ; Irena Lasiecka; Daniel Toundykov;  ;

doi:10.3934/dcds.2008.20.459

Long-term dynamics of semilinear wave equation with nonlinear localized interior damping and a source term of critical exponent

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2008.20.459 ◽

2008 ◽

Vol 20 (3) ◽

pp. 459-509 ◽

Cited By ~ 28

Author(s):

Igor Chueshov ◽

◽

Irena Lasiecka ◽

Daniel Toundykov ◽

◽

...

Keyword(s):

Wave Equation ◽

Critical Exponent ◽

Source Term ◽

Semilinear Wave Equation

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Critical Exponent for the Semilinear Wave Equation with Time or Space Dependent Damping

Progress in Partial Differential Equations - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-319-00125-8_11 ◽

2013 ◽

pp. 239-259

Author(s):

Kenji Nishihara

Keyword(s):

Wave Equation ◽

Critical Exponent ◽

Semilinear Wave Equation

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Existence and uniqueness of solution to the problem of determining source term in a semilinear wave equation

Journal of Inverse and Ill-Posed Problems ◽

10.1515/156939406779768346 ◽

2006 ◽

Vol 14 (8) ◽

pp. 767-784 ◽

Cited By ~ 1

Author(s):

A. M. Denisov

Keyword(s):

Wave Equation ◽

Existence And Uniqueness ◽

Source Term ◽

Uniqueness Of Solution ◽

Semilinear Wave Equation

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Fujita’s Exponent for a Semilinear Wave Equation with Linear Damping

Advanced Nonlinear Studies ◽

10.1515/ans-2002-0103 ◽

2002 ◽

Vol 2 (1) ◽

Cited By ~ 16

Author(s):

Mokhtar Kirane ◽

Mahmoud Qafsaoui

Keyword(s):

Wave Equation ◽

Critical Exponent ◽

Semilinear Wave Equation ◽

Linear Damping

AbstractWe discuss the critical exponent problem for the semilinear wave equation with linear dampingu

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Global Attractor for a Wave Equation with Nonlinear Localized Boundary Damping and a Source Term of Critical Exponent

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-009-9132-y ◽

2009 ◽

Vol 21 (2) ◽

pp. 269-314 ◽

Cited By ~ 17

Author(s):

Igor Chueshov ◽

Irena Lasiecka ◽

Daniel Toundykov

Keyword(s):

Wave Equation ◽

Critical Exponent ◽

Global Attractor ◽

Source Term ◽

Boundary Damping

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Convergence to equilibrium for the damped semilinear wave equation with critical exponent and dissipative boundary condition

Quarterly of Applied Mathematics ◽

10.1090/s0033-569x-06-01004-0 ◽

2006 ◽

Vol 64 (1) ◽

pp. 167-188 ◽

Cited By ~ 15

Author(s):

Hao Wu ◽

Songmu Zheng

Keyword(s):

Boundary Condition ◽

Wave Equation ◽

Critical Exponent ◽

Convergence To Equilibrium ◽

Semilinear Wave Equation ◽

Dissipative Boundary ◽

Dissipative Boundary Condition

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Existence and asymptotic stability for the semilinear wave equation with boundary damping and source term

Journal of Mathematical Physics ◽

10.1063/1.2919886 ◽

2008 ◽

Vol 49 (5) ◽

pp. 053511 ◽

Cited By ~ 19

Author(s):

Jong Yeoul Park ◽

Tae Gab Ha

Keyword(s):

Wave Equation ◽

Asymptotic Stability ◽

Source Term ◽

Boundary Damping ◽

Semilinear Wave Equation

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Critical exponent for semilinear wave equation with critical potential

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-012-0214-x ◽

2012 ◽

Vol 20 (3) ◽

pp. 1379-1391 ◽

Cited By ~ 1

Author(s):

Xinfu Li

Keyword(s):

Wave Equation ◽

Critical Exponent ◽

Critical Potential ◽

Semilinear Wave Equation

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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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Critical Exponent for the Semilinear Wave Equation with Scale Invariant Damping

Fourier Analysis ◽

10.1007/978-3-319-02550-6_19 ◽

2013 ◽

pp. 375-390 ◽

Cited By ~ 12

Author(s):

Yuta Wakasugi

Keyword(s):

Wave Equation ◽

Critical Exponent ◽

Scale Invariant ◽

Semilinear Wave Equation

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Critical exponent for the semilinear wave equation with time-dependent damping

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2012.32.4307 ◽

2012 ◽

Vol 32 (12) ◽

pp. 4307-4320 ◽

Cited By ~ 43

Author(s):

Jian Zhai ◽

Kenji Nishihara ◽

Jiayun Lin

Keyword(s):

Wave Equation ◽

Critical Exponent ◽

Time Dependent ◽

Semilinear Wave Equation

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