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 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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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 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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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 ◽

Author(s):

Tae Gab Ha ◽

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Source Term ◽

Boundary Damping ◽

Viscoelastic Wave Equation ◽

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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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 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 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 nonexistence of solutions for viscoelastic wave equation with delay

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5194 ◽

2018 ◽

Vol 41 (16) ◽

pp. 6834-6841 ◽

Author(s):

Jum-Ran Kang

Keyword(s):

Wave Equation ◽

Viscoelastic Wave Equation ◽

Global Nonexistence ◽

Viscoelastic Wave ◽

Nonexistence Of Solutions ◽

Equation With Delay

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A global nonexistence of solutions for a quasilinear viscoelastic wave equation with acoustic boundary conditions

Boundary Value Problems ◽

10.1186/s13661-018-1057-0 ◽

2018 ◽

Vol 2018 (1) ◽

Author(s):

Yong Han Kang ◽

Jong Yeoul Park ◽

Daewook Kim

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Acoustic Boundary Conditions ◽

Viscoelastic Wave Equation ◽

Global Nonexistence ◽

Viscoelastic Wave ◽

Nonexistence Of Solutions

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