On the Convergence to Stationary Solutions for a Semilinear Wave Equation with an Acoustic Boundary Condition

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/1430 ◽

2011 ◽

pp. 181-191 ◽

Author(s):

Sergio Frigeri

Keyword(s):

Boundary Condition ◽

Wave Equation ◽

Stationary Solutions ◽

Semilinear Wave Equation ◽

Acoustic Boundary Condition

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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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Stabilization of the critical semilinear wave equation with Dirichlet-Neumann boundary condition on bounded domain

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125610 ◽

2021 ◽

pp. 125610

Author(s):

Hao Li ◽

Zhen-Hu Ning ◽

Fengyan Yang

Keyword(s):

Boundary Condition ◽

Wave Equation ◽

Bounded Domain ◽

Neumann Boundary Condition ◽

Neumann Boundary ◽

Semilinear Wave Equation

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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 ◽

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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Uniform stabilization of wave equation with localized internal damping and acoustic boundary condition with viscoelastic damping

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-018-0977-y ◽

2018 ◽

Vol 69 (3) ◽

Author(s):

Cícero Lopes Frota ◽

André Vicente

Keyword(s):

Boundary Condition ◽

Wave Equation ◽

Viscoelastic Damping ◽

Internal Damping ◽

Uniform Stabilization ◽

Acoustic Boundary Condition

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Uniform stabilization of wave equation with localized damping and acoustic boundary condition

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2015.12.039 ◽

2016 ◽

Vol 436 (2) ◽

pp. 639-660 ◽

Author(s):

A. Vicente ◽

C.L. Frota

Keyword(s):

Boundary Condition ◽

Wave Equation ◽

Uniform Stabilization ◽

Acoustic Boundary Condition ◽

Localized Damping

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On the Solvability of a Mixed Problem for an One-dimensional Semilinear Wave Equation with a Nonlinear Boundary Condition

Journal of Contemporary Mathematical Analysis ◽

10.3103/s1068362318050011 ◽

2018 ◽

Vol 53 (5) ◽

pp. 247-259

Author(s):

S. S. Kharibegashvili ◽

N. N. Shavlakadze ◽

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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Energy decay rates for the semilinear wave equation with memory boundary condition and acoustic boundary conditions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.02.038 ◽

2017 ◽

Vol 73 (9) ◽

pp. 1975-1986 ◽

Author(s):

Jin-Mun Jeong ◽

Jong Yeoul Park ◽

Yong Han Kang

Keyword(s):

Boundary Condition ◽

Wave Equation ◽

Boundary Conditions ◽

Energy Decay ◽

Decay Rates ◽

Acoustic Boundary Conditions ◽

Semilinear Wave Equation ◽

Energy Decay Rates ◽

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General decay of solutions of a wave equation with memory term and acoustic boundary condition

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4129 ◽

2016 ◽

Author(s):

A. Vicente ◽

C. L. Frota

Keyword(s):

Boundary Condition ◽

Wave Equation ◽

General Decay ◽

Memory Term ◽

Acoustic Boundary Condition ◽

Decay Of Solutions ◽

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Dynamics near explicit stationary solutions in similarity variables for solutions of a semilinear wave equation in higher dimensions

Transactions of the American Mathematical Society ◽

10.1090/tran/6450 ◽

2015 ◽

Vol 368 (1) ◽

pp. 27-87 ◽

Author(s):

Frank Merle ◽

Hatem Zaag

Keyword(s):

Wave Equation ◽

Higher Dimensions ◽

Stationary Solutions ◽

Semilinear Wave Equation

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Semilinear wave equation on compact Lie groups

Journal of Pseudo-Differential Operators and Applications ◽

10.1007/s11868-021-00414-x ◽

2021 ◽

Vol 12 (3) ◽

Author(s):

Alessandro Palmieri

Keyword(s):

Wave Equation ◽

Compact Lie Groups ◽

Semilinear Wave Equation

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