Finite Dimensionality of the Attractor for a Semilinear Wave Equation with Nonlinear Boundary Dissipation

Igor Chueshov; Matthias Eller; Irena Lasiecka

doi:10.1081/pde-200040203

Finite Dimensionality of the Attractor for a Semilinear Wave Equation with Nonlinear Boundary Dissipation

Communications in Partial Differential Equations ◽

10.1081/pde-200040203 ◽

2005 ◽

Vol 29 (11-12) ◽

pp. 1847-1876 ◽

Cited By ~ 17

Author(s):

Igor Chueshov ◽

Matthias Eller ◽

Irena Lasiecka

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Semilinear Wave Equation ◽

Finite Dimensionality ◽

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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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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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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On exponential stability of a semilinear wave equation with variable coefficients under the nonlinear boundary feedback

Nonlinear Analysis ◽

10.1016/j.na.2009.05.018 ◽

2009 ◽

Vol 71 (12) ◽

pp. 5961-5978 ◽

Cited By ~ 22

Author(s):

Bao-Zhu Guo ◽

Zhi-Chao Shao

Keyword(s):

Wave Equation ◽

Exponential Stability ◽

Nonlinear Boundary ◽

Variable Coefficients ◽

Semilinear Wave Equation ◽

Boundary Feedback ◽

Nonlinear Boundary Feedback

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Solvability of a Mixed Problem with Nonlinear Boundary Condition for a One-Dimensional Semilinear Wave Equation

Mathematical Notes ◽

10.1134/s0001434620070123 ◽

2020 ◽

Vol 108 (1-2) ◽

pp. 123-136

Author(s):

S. S. Kharibegashvili ◽

O. M. Jokhadze

Keyword(s):

Boundary Condition ◽

Wave Equation ◽

Mixed Problem ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

One Dimensional ◽

Semilinear Wave Equation

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Finite dimensionality and regularity of attractors for a 2-D semilinear wave equation with nonlinear dissipation

Journal of Mathematical Analysis and Applications ◽

10.1016/s0022-247x(02)00006-9 ◽

2002 ◽

Vol 270 (1) ◽

pp. 16-50 ◽

Cited By ~ 22

Author(s):

Irena Lasiecka ◽

Anastasia A. Ruzmaikina

Keyword(s):

Wave Equation ◽

Nonlinear Dissipation ◽

Semilinear Wave Equation ◽

Finite Dimensionality

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Global and blowup solutions of a mixed problem with nonlinear boundary conditions for a one-dimensional semilinear wave equation

Sbornik Mathematics ◽

10.1070/sm2014v205n04abeh004388 ◽

2014 ◽

Vol 205 (4) ◽

pp. 573-599 ◽

Cited By ~ 1

Author(s):

S. S. Kharibegashvili ◽

O. M. Jokhadze

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Mixed Problem ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

One Dimensional ◽

Semilinear Wave Equation

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ON UNIFORM STABILIZATION OF A SEMILINEAR WAVE EQUATION WITH VARIABLE COEFFICIENTS UNDER THE NONLINEAR BOUNDARY FEEDBACK1

IFAC Proceedings Volumes ◽

10.3182/20070822-3-za-2920.00022 ◽

2007 ◽

Vol 40 (12) ◽

pp. 129-134

Author(s):

Zhi-Chao Shao ◽

Bao-Zhu Guo

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Variable Coefficients ◽

Uniform Stabilization ◽

Semilinear Wave Equation

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THE SEMILINEAR WAVE EQUATION ASSOCIATED WITH A NONLINEAR BOUNDARY

Demonstratio Mathematica ◽

10.1515/dema-1997-0312 ◽

1997 ◽

Vol 30 (3) ◽

Author(s):

A. Pham Ngoc Dinh ◽

Nguyen Thanh Long

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Semilinear Wave Equation

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