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

Jong Yeoul Park; Jeong Ja Bae; Il Hyo Jung

doi:10.1016/s0362-546x(01)00781-7

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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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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On coupled wave equation of Kirchhoff type with nonlinear boundary damping and memory term

Applied Mathematics and Computation ◽

10.1016/s0096-3003(01)00031-5 ◽

2002 ◽

Vol 129 (1) ◽

pp. 87-105 ◽

Cited By ~ 10

Author(s):

Jong Yeoul Park ◽

Jeong Ja Bae

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Memory Term ◽

Boundary Damping ◽

Kirchhoff Type ◽

Coupled Wave

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

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7556 ◽

2021 ◽

Author(s):

Maryam Parvizi ◽

Amirreza Khodadadian ◽

M.R. Eslahchi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wave Equation ◽

Nonlinear Boundary ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Memory Term ◽

Boundary Damping ◽

Kirchhoff Type ◽

Coupled Wave

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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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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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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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Existence and uniform decay estimates for the fourth order wave equation with nonlinear boundary damping and interior source

Electronic Research Archive ◽

10.3934/era.2020015 ◽

2020 ◽

Vol 28 (1) ◽

pp. 221-261

Author(s):

Huafei Di ◽

◽

Yadong Shang ◽

Jiali Yu ◽

Keyword(s):

Wave Equation ◽

Fourth Order ◽

Nonlinear Boundary ◽

Decay Estimates ◽

Uniform Decay ◽

Boundary Damping ◽

Fourth Order Wave Equation

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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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Uniform decay for the unilateral problem associated to the Kirchhoff type wave equations with nonlinear boundary damping

Applied Mathematics and Computation ◽

10.1016/j.amc.2003.07.003 ◽

2004 ◽

Vol 156 (1) ◽

pp. 41-57 ◽

Cited By ~ 1

Author(s):

Jeong Ja Bae

Keyword(s):

Wave Equations ◽

Nonlinear Boundary ◽

Uniform Decay ◽

Boundary Damping ◽

Unilateral Problem ◽

Kirchhoff Type ◽

Type Wave

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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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