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 Energy Decay Rates for a Nonlinear Wave Equation of Kirchhoff Type with Memory and Acoustic Boundary Conditions

Funkcialaj Ekvacioj ◽

10.1619/fesi.63.1 ◽

2020 ◽

Vol 63 (1) ◽

pp. 1-18

Author(s):

Tae Gab Ha ◽

Jong Yeoul Park

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Decay Rates ◽

Acoustic Boundary Conditions ◽

Kirchhoff Type ◽

General Energy ◽

Energy Decay Rates ◽

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WITHDRAWN: Energy decay rates for solutions of the wave equation with damping term and acoustic boundary conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2009.03.015 ◽

2009 ◽

Author(s):

Jong Yeoul Park ◽

Tae Gab Ha

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Energy Decay ◽

Decay Rates ◽

Damping Term ◽

Acoustic Boundary Conditions ◽

Energy Decay Rates

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Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms

Nonlinear Analysis ◽

10.1016/j.na.2005.07.024 ◽

2006 ◽

Vol 64 (8) ◽

pp. 1757-1797 ◽

Author(s):

Irena Lasiecka ◽

Daniel Toundykov

Keyword(s):

Wave Equation ◽

Energy Decay ◽

Decay Rates ◽

Source Terms ◽

Semilinear Wave Equation ◽

Energy Decay Rates ◽

Localized Damping ◽

Damping And Source Terms

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Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms‚Äîan intrinsic approach

Lecture Notes in Pure and Applied Mathematics - Free and Moving Boundaries ◽

10.1201/9781420011159.ch13 ◽

2007 ◽

pp. 263-280

Author(s):

Irena Lasiecka ◽

Daniel Toundykov

Keyword(s):

Wave Equation ◽

Energy Decay ◽

Decay Rates ◽

Source Terms ◽

Semilinear Wave Equation ◽

Energy Decay Rates ◽

Localized Damping ◽

Damping And Source Terms

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Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms— an intrinsic approach

Free and Moving Boundaries ◽

10.1201/9781420011159-17 ◽

2007 ◽

pp. 281-298

Keyword(s):

Wave Equation ◽

Energy Decay ◽

Decay Rates ◽

Source Terms ◽

Semilinear Wave Equation ◽

Energy Decay Rates ◽

Localized Damping ◽

Damping And Source Terms

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Asymptotic Stability and Energy Decay Rates for Solutions of the Wave Equation with Memory in a Star-Shaped Domain

SIAM Journal on Control and Optimization ◽

10.1137/s0363012998344981 ◽

2000 ◽

Vol 38 (5) ◽

pp. 1581-1602 ◽

Author(s):

M. Aassila ◽

M. M. Cavalcanti ◽

J. A. Soriano

Keyword(s):

Wave Equation ◽

Asymptotic Stability ◽

Energy Decay ◽

Decay Rates ◽

Energy Decay Rates ◽

Shaped Domain ◽

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Energy decay of a variable-coefficient wave equation with memory type acoustic boundary conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2015.09.039 ◽

2016 ◽

Vol 434 (1) ◽

pp. 882-893 ◽

Author(s):

Jieqiong Wu ◽

Shengjia Li ◽

Fei Feng

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Variable Coefficient ◽

Energy Decay ◽

Acoustic Boundary Conditions ◽

Memory Type ◽

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Asymptotic stability and energy decay rates for solutions of the wave equation with memory

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187) ◽

10.1109/cdc.2000.912296 ◽

2002 ◽

Author(s):

M. Aassila ◽

M.M. Cavalcanti ◽

J.A. Soriano

Keyword(s):

Wave Equation ◽

Asymptotic Stability ◽

Energy Decay ◽

Decay Rates ◽

Energy Decay Rates ◽

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Energy decay rates for solutions of the wave equation with boundary damping and source term

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-009-0009-z ◽

2009 ◽

Vol 61 (2) ◽

pp. 235-265 ◽

Author(s):

Jong Yeoul Park ◽

Tae Gab Ha ◽

Yong Han Kang

Keyword(s):

Wave Equation ◽

Source Term ◽

Energy Decay ◽

Decay Rates ◽

Boundary Damping ◽

Energy Decay Rates

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Existence of Solutions for the Kirchhoff-Type Wave Equation with Memory Term and Acoustic Boundary Conditions

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2010.498301 ◽

2010 ◽

Vol 31 (8) ◽

pp. 921-935 ◽

Author(s):

Tae Gab Ha ◽

Jong Yeoul Park

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Existence Of Solutions ◽

Memory Term ◽

Acoustic Boundary Conditions ◽

Kirchhoff Type ◽

Type Wave ◽

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