UNIFORM DECAY OF SOLUTIONS FOR VISCOELASTIC PROBLEM WITH NONLINEAR BOUNDARY DAMPING AND MEMORY TERM

JEONG JA BAE

doi:10.4134/jkms.2005.42.1.037

UNIFORM DECAY OF SOLUTIONS FOR VISCOELASTIC PROBLEM WITH NONLINEAR BOUNDARY DAMPING AND MEMORY TERM

Journal of the Korean Mathematical Society ◽

10.4134/jkms.2005.42.1.037 ◽

2005 ◽

Vol 42 (1) ◽

pp. 37-52

Author(s):

JEONG JA BAE

Keyword(s):

Nonlinear Boundary ◽

Memory Term ◽

Viscoelastic Problem ◽

Uniform Decay ◽

Boundary Damping ◽

Decay Of Solutions

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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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Existence and uniform decay of solutions of a degenerate equation with nonlinear boundary damping and boundary memory source term

Nonlinear Analysis ◽

10.1016/s0362-546x(98)00195-3 ◽

1999 ◽

Vol 38 (3) ◽

pp. 281-294 ◽

Cited By ~ 26

Author(s):

M.M. Cavalcanti ◽

V.N.Domingos Cavalcanti ◽

J.S.Prates Filho ◽

J.A. Soriano

Keyword(s):

Nonlinear Boundary ◽

Source Term ◽

Degenerate Equation ◽

Uniform Decay ◽

Boundary Damping ◽

Memory Source ◽

Decay Of Solutions

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Existence and Uniform Decay of Solutions of a Degenerate Equation with Nonlinear Boundary Damping

Numerical Functional Analysis and Optimization ◽

10.1081/nfa-120022921 ◽

2003 ◽

Vol 24 (3-4) ◽

pp. 257-272 ◽

Cited By ~ 1

Author(s):

Jong Yeoul Park ◽

Hyun-Min Kim ◽

Joung Ae Kim

Keyword(s):

Nonlinear Boundary ◽

Degenerate Equation ◽

Uniform Decay ◽

Boundary Damping ◽

Decay Of Solutions

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On uniform decay of the solution for a damped nonlinear coupled system of wave equations with nonlinear boundary damping and memory term

Applied Mathematics and Computation ◽

10.1016/s0096-3003(02)00838-x ◽

2004 ◽

Vol 148 (1) ◽

pp. 207-223 ◽

Cited By ~ 3

Author(s):

Jeong Ja Bae

Keyword(s):

Wave Equations ◽

Nonlinear Boundary ◽

Coupled System ◽

Memory Term ◽

Uniform Decay ◽

Boundary Damping ◽

Nonlinear Coupled System

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Uniform decay of solution for wave equation of Kirchhoff type with nonlinear boundary damping and memory term

Nonlinear Analysis ◽

10.1016/s0362-546x(01)00781-7 ◽

2002 ◽

Vol 50 (7) ◽

pp. 871-884 ◽

Cited By ~ 30

Author(s):

Jong Yeoul Park ◽

Jeong Ja Bae ◽

Il Hyo Jung

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Memory Term ◽

Uniform Decay ◽

Boundary Damping ◽

Kirchhoff Type

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Existence and uniform decay of solutions of a parabolic-hyperbolic equation with nonlinear boundary damping and boundary source term

Communications in Analysis and Geometry ◽

10.4310/cag.2002.v10.n3.a1 ◽

2002 ◽

Vol 10 (3) ◽

pp. 451-466 ◽

Cited By ~ 15

Author(s):

M. M. Cavalcanti ◽

V. N. Domingos Cavalcanti ◽

J. S. Prates Filho ◽

J. A. Soriano

Keyword(s):

Hyperbolic Equation ◽

Nonlinear Boundary ◽

Source Term ◽

Uniform Decay ◽

Boundary Damping ◽

Boundary Source ◽

Decay Of Solutions

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A mixed finite element method for solving coupled wave equation of Kirchhofftype with nonlinear boundary damping and memory term

Authorea ◽

10.22541/au.158679888.83392381 ◽

2020 ◽

Author(s):

Maryam Parvizi ◽

Amirreza Khodadadian ◽

Mohammad Reza Eslahchi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wave Equation ◽

Nonlinear Boundary ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Memory Term ◽

Boundary Damping ◽

Element Method ◽

Coupled Wave

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Global existence, nonexistence, and decay of solutions for a viscoelastic wave equation with nonlinear boundary damping and source terms

Journal of Mathematical Physics ◽

10.1063/5.0012614 ◽

2020 ◽

Vol 61 (7) ◽

pp. 071503

Author(s):

Jiali Yu ◽

Yadong Shang ◽

Huafei Di

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Boundary ◽

Source Terms ◽

Boundary Damping ◽

Viscoelastic Wave Equation ◽

Decay Of Solutions ◽

Viscoelastic Wave ◽

Damping And Source Terms

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Global existence and uniform decay for the coupled Klein–Gordon–Schrödinger equations with non-linear boundary damping and memory term

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.673 ◽

2006 ◽

Vol 29 (9) ◽

pp. 947-964 ◽

Cited By ~ 2

Author(s):

Jong Yeoul Park ◽

Joung Ae Kim

Keyword(s):

Global Existence ◽

Memory Term ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Linear Boundary ◽

Uniform Decay ◽

Boundary Damping ◽

Non Linear ◽

Klein Gordon

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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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