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

Jiali Yu; Yadong Shang; Huafei Di

doi:10.1063/5.0012614

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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On decay and blow-up of the solution for a viscoelastic wave equation with boundary damping and source terms

Nonlinear Analysis ◽

10.1016/j.na.2010.11.022 ◽

2011 ◽

Vol 74 (6) ◽

pp. 2175-2190 ◽

Cited By ~ 38

Author(s):

Wenjun Liu ◽

Jun Yu

Keyword(s):

Wave Equation ◽

Blow Up ◽

Source Terms ◽

Boundary Damping ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave ◽

Damping And Source Terms

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Global existence for the wave equation with nonlinear boundary damping and source terms

Journal of Differential Equations ◽

10.1016/s0022-0396(02)00023-2 ◽

2002 ◽

Vol 186 (1) ◽

pp. 259-298 ◽

Cited By ~ 87

Author(s):

Enzo Vitillaro

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Boundary ◽

Source Terms ◽

Boundary Damping ◽

Damping And Source Terms

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Global existence and nonexistence for the viscoelastic wave equation with nonlinear boundary damping-source interaction

Communications on Pure and Applied Analysis ◽

10.3934/cpaa.2013.12.375 ◽

2012 ◽

Vol 12 (1) ◽

pp. 375-403 ◽

Cited By ~ 5

Author(s):

Belkacem Said-Houari ◽

Flavio A. Falcão Nascimento

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Boundary ◽

Boundary Damping ◽

Viscoelastic Wave Equation ◽

Existence And Nonexistence ◽

Viscoelastic Wave

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Blow Up and Global Existence for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Nonlinear Damping and Source terms

Applied Mathematics ◽

10.4236/am.2015.65076 ◽

2015 ◽

Vol 06 (05) ◽

pp. 806-816 ◽

Cited By ~ 6

Author(s):

Liang Guo ◽

Zhaoqin Yuan ◽

Guoguang Lin

Keyword(s):

Wave Equation ◽

Global Existence ◽

Blow Up ◽

Nonlinear Damping ◽

Source Terms ◽

Strong Damping ◽

Viscoelastic Wave Equation ◽

Nonlinear Viscoelastic ◽

Viscoelastic Wave ◽

Damping And Source Terms

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Blow-up of solution for quasilinear viscoelastic wave equation with boundary nonlinear damping and source terms

Boundary Value Problems ◽

10.1186/s13661-019-1180-6 ◽

2019 ◽

Vol 2019 (1) ◽

Author(s):

Mi Jin Lee ◽

Jum-Ran Kang ◽

Sun-Hye Park

Keyword(s):

Wave Equation ◽

Blow Up ◽

Nonlinear Damping ◽

Source Terms ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave ◽

Damping And Source Terms

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Global existence and nonexistence of solutions for a viscoelastic wave equation with nonlinear boundary source term

Mathematische Nachrichten ◽

10.1002/mana.201500169 ◽

2016 ◽

Vol 289 (11-12) ◽

pp. 1408-1432 ◽

Cited By ~ 3

Author(s):

Huafei Di ◽

Yadong Shang ◽

Xiaoming Peng

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Boundary ◽

Source Term ◽

Viscoelastic Wave Equation ◽

Boundary Source ◽

Existence And Nonexistence ◽

Viscoelastic Wave ◽

Nonexistence Of Solutions

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Blow-up of a nonlinear viscoelastic wave equation with distributed delay combined with strong damping and source terms

Journal of Nonlinear Functional Analysis ◽

10.23952/jnfa.2020.31 ◽

2020 ◽

Vol 2020 (1) ◽

Keyword(s):

Wave Equation ◽

Blow Up ◽

Distributed Delay ◽

Source Terms ◽

Strong Damping ◽

Viscoelastic Wave Equation ◽

Nonlinear Viscoelastic ◽

Viscoelastic Wave ◽

Damping And Source Terms

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General decay of solutions for a nonlinear viscoelastic wave equation with nonlocal boundary damping

Miskolc Mathematical Notes ◽

10.18514/mmn.2014.799 ◽

2014 ◽

Vol 15 (2) ◽

pp. 753

Author(s):

Faramarz Tahamtani ◽

Amir Peyravi

Keyword(s):

Wave Equation ◽

Nonlocal Boundary ◽

General Decay ◽

Boundary Damping ◽

Viscoelastic Wave Equation ◽

Nonlinear Viscoelastic ◽

Decay Of Solutions ◽

Viscoelastic Wave

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On viscoelastic wave equation with nonlinear boundary damping and source term

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2010.9.1543 ◽

2010 ◽

Vol 9 (6) ◽

pp. 1543-1576 ◽

Cited By ~ 16

Author(s):

Tae Gab Ha ◽

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Source Term ◽

Boundary Damping ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave

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Stochastic quasilinear viscoelastic wave equation with nonlinear damping and source terms

Boundary Value Problems ◽

10.1186/s13661-018-0932-z ◽

2018 ◽

Vol 2018 (1) ◽

Cited By ~ 1

Author(s):

Sangil Kim ◽

Jong-Yeoul Park ◽

Yong Han Kang

Keyword(s):

Wave Equation ◽

Nonlinear Damping ◽

Source Terms ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave ◽

Damping And Source Terms

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