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

Jong Yeoul Park; Tae Gab Ha

doi:10.1063/1.2919886

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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Asymptotic stability of the semilinear wave equation with boundary damping and source term

Comptes Rendus Mathematique ◽

10.1016/j.crma.2014.01.005 ◽

2014 ◽

Vol 352 (3) ◽

pp. 213-218 ◽

Cited By ~ 6

Author(s):

Tae Gab Ha

Keyword(s):

Wave Equation ◽

Asymptotic Stability ◽

Source Term ◽

Boundary Damping ◽

Semilinear Wave Equation

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Erratum: “Existence and asymptotic stability for the semilinear wave equation with boundary damping and source term” [J. Math. Phys. 49, 053511 (2008)]

Journal of Mathematical Physics ◽

10.1063/1.3155787 ◽

2009 ◽

Vol 50 (6) ◽

pp. 069901

Author(s):

Jong Yeoul Park ◽

Tae Gab Ha

Keyword(s):

Wave Equation ◽

Asymptotic Stability ◽

Source Term ◽

Boundary Damping ◽

Semilinear Wave Equation ◽

Math Phys

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Global Solvability and Asymptotic Stability for the Wave Equation with Nonlinear Boundary Damping and Source Term

Progress in Nonlinear Differential Equations and Their Applications - Contributions to Nonlinear Analysis ◽

10.1007/3-7643-7401-2_11 ◽

2005 ◽

pp. 161-184 ◽

Cited By ~ 5

Author(s):

M.M. Cavalcanti ◽

V.N. Domingos Cavalcanti ◽

J.A. Soriano

Keyword(s):

Wave Equation ◽

Asymptotic Stability ◽

Nonlinear Boundary ◽

Source Term ◽

Global Solvability ◽

Boundary Damping

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On uniform decay of solutions for wave equation of Kirchhoff type with nonlinear boundary damping and memory source term

Applied Mathematics and Computation ◽

10.1016/s0096-3003(02)00163-7 ◽

2003 ◽

Vol 138 (2-3) ◽

pp. 463-478 ◽

Cited By ~ 2

Author(s):

Jeong Ja Bae ◽

Jong Yeoul Park ◽

Jin Mun Jeong

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Source Term ◽

Uniform Decay ◽

Boundary Damping ◽

Kirchhoff Type ◽

Memory Source ◽

Decay Of Solutions

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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 ◽

Cited By ~ 8

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 AND UNIFORM DECAY OF THE WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND BOUNDARY MEMORY SOURCE TERM

Progress in Analysis ◽

10.1142/9789812794253_0147 ◽

2003 ◽

Cited By ~ 1

Author(s):

MARCELO MOREIRA CAVALCANTI

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Source Term ◽

Uniform Decay ◽

Boundary Damping ◽

Memory Source

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Well-posedness and asymptotic stability of solutions to the semilinear wave equation with analytic nonlinearity and time varying delay

Journal of Differential Equations ◽

10.1016/j.jde.2021.08.018 ◽

2021 ◽

Vol 301 ◽

pp. 169-201

Author(s):

Hassan Yassine

Keyword(s):

Wave Equation ◽

Asymptotic Stability ◽

Well Posedness ◽

Time Varying ◽

Stability Of Solutions ◽

Semilinear Wave Equation ◽

Time Varying Delay ◽

Analytic Nonlinearity ◽

Varying Delay

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Existence and uniform decay of the wave equation with nonlinear boundary damping and boundary memory source term

Calculus of Variations and Partial Differential Equations ◽

10.1007/s005260100096 ◽

2002 ◽

Vol 15 (2) ◽

pp. 155-180 ◽

Cited By ~ 69

Author(s):

M. Aassila ◽

M.M. Cavalcanti ◽

V.N. Domingos Cavalcanti

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Source Term ◽

Uniform Decay ◽

Boundary Damping ◽

Memory Source

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Asymptotic stability of diffusion wave for a semilinear wave equation with damping

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125468 ◽

2021 ◽

pp. 125468

Author(s):

Yan Yong ◽

Junmei Su

Keyword(s):

Wave Equation ◽

Asymptotic Stability ◽

Diffusion Wave ◽

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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