Global existence and exponential decay of the solution for a viscoelastic wave equation with a delay

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-013-0365-6 ◽

2013 ◽

Vol 65 (5) ◽

pp. 885-903 ◽

Author(s):

Qiuyi Dai ◽

Zhifeng Yang

Keyword(s):

Wave Equation ◽

Global Existence ◽

Exponential Decay ◽

Viscoelastic Wave Equation ◽

Viscoelastic 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 exponential growth for a viscoelastic wave equation with dynamic boundary conditions

Advances in Nonlinear Analysis ◽

10.1515/anona-2012-0027 ◽

2013 ◽

Vol 0 (0) ◽

Author(s):

Stéphane Gerbi ◽

Belkacem Said-Houari

Keyword(s):

Wave Equation ◽

Global Existence ◽

Boundary Conditions ◽

Exponential Growth ◽

Dynamic Boundary Conditions ◽

Viscoelastic Wave Equation ◽

Dynamic Boundary ◽

Viscoelastic Wave

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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 ◽

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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Global existence uniqueness and decay estimates for nonlinear viscoelastic wave equation with boundary dissipation

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2010.11.009 ◽

2011 ◽

Vol 12 (3) ◽

pp. 1759-1773 ◽

Author(s):

Fushan Li ◽

Zengqin Zhao ◽

Yanfu Chen

Keyword(s):

Wave Equation ◽

Global Existence ◽

Decay Estimates ◽

Viscoelastic Wave Equation ◽

Nonlinear Viscoelastic ◽

Viscoelastic Wave ◽

Boundary Dissipation

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Global existence and blow-up of solutions for higher-order viscoelastic wave equation with a nonlinear source term

Nonlinear Analysis ◽

10.1016/j.na.2014.09.001 ◽

2015 ◽

Vol 112 ◽

pp. 129-146 ◽

Author(s):

Yaojun Ye

Keyword(s):

Wave Equation ◽

Global Existence ◽

Source Term ◽

Blow Up ◽

Higher Order ◽

Nonlinear Source ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave

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Blow up and global existence in a nonlinear viscoelastic wave equation

Mathematische Nachrichten ◽

10.1002/mana.200310104 ◽

2003 ◽

Vol 260 (1) ◽

pp. 58-66 ◽

Author(s):

Salim A. Messaoudi

Keyword(s):

Wave Equation ◽

Global Existence ◽

Blow Up ◽

Viscoelastic Wave Equation ◽

Nonlinear Viscoelastic ◽

Viscoelastic Wave

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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 ◽

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 solution of quasilinear viscoelastic wave equation with strong damping and source term

Boundary Value Problems ◽

10.1186/s13661-017-0796-7 ◽

2017 ◽

Vol 2017 (1) ◽

Author(s):

Jianghao Hao ◽

Haiying Wei

Keyword(s):

Wave Equation ◽

Global Existence ◽

Source Term ◽

Blow Up ◽

Strong Damping ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave

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Exponential decay of the viscoelastic wave equation of Kirchhoff type with a nonlocal dissipation

Studia Universitatis Babes-Bolyai Matematica ◽

10.24193/subbmath.2020.3.10 ◽

2020 ◽

Vol 65 (3) ◽

pp. 429-451

Author(s):

Mohamed Mellah ◽

◽

Ali Hakem ◽

◽

Keyword(s):

Wave Equation ◽

Exponential Decay ◽

Kirchhoff Type ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave

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Global existence and explosion of the stochastic viscoelastic wave equation driven by multiplicative noises

Journal of Mathematical Physics ◽

10.1063/1.4961256 ◽

2016 ◽

Vol 57 (8) ◽

pp. 081516

Author(s):

Fei Liang ◽

Yucong Chen ◽

Junbing Li

Keyword(s):

Wave Equation ◽

Global Existence ◽

Multiplicative Noises ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave

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