On global existence and nonexistence of solutions to a quasi-linear wave equation with memory, nonlinear damping and source terms

Scientific African ◽

10.1016/j.sciaf.2021.e00974 ◽

2021 ◽

pp. e00974

Author(s):

Paul A. Ogbiyele

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Damping ◽

Linear Wave ◽

Source Terms ◽

Linear Wave Equation ◽

Existence And Nonexistence ◽

Nonexistence Of Solutions ◽

Damping And Source Terms ◽

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Global existence and uniform decay rates for the semi-linear wave equation with damping and source terms

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2013.12.012 ◽

2014 ◽

Vol 67 (3) ◽

pp. 692-707 ◽

Author(s):

Tae Gab Ha ◽

Daewook Kim ◽

Il Hyo Jung

Keyword(s):

Wave Equation ◽

Global Existence ◽

Decay Rates ◽

Linear Wave ◽

Source Terms ◽

Linear Wave Equation ◽

Uniform Decay ◽

Damping And Source Terms

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Global existence and asymptotic behavior of solutions for the double dispersive-dissipative wave equation with nonlinear damping and source terms

Boundary Value Problems ◽

10.1186/s13661-015-0288-6 ◽

2015 ◽

Vol 2015 (1) ◽

Author(s):

Huafei Di ◽

Yadong Shang

Keyword(s):

Asymptotic Behavior ◽

Wave Equation ◽

Global Existence ◽

Nonlinear Damping ◽

Asymptotic Behavior Of Solutions ◽

Source Terms ◽

Damping And Source Terms ◽

Dissipative Wave Equation

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GLOBAL EXISTENCE AND NONEXISTENCE OF SOLUTIONS FOR COUPLED NONLINEAR WAVE EQUATIONS WITH DAMPING AND SOURCE TERMS

Bulletin of the Korean Mathematical Society ◽

10.4134/bkms.2014.51.6.1697 ◽

2014 ◽

Vol 51 (6) ◽

pp. 1697-1710 ◽

Author(s):

Yaojun Ye

Keyword(s):

Global Existence ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Source Terms ◽

Existence And Nonexistence ◽

Nonexistence Of Solutions ◽

Damping And Source Terms

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Global existence and nonexistence for a nonlinear wave equation with damping and source terms

Mathematische Nachrichten ◽

10.1002/mana.200310310 ◽

2005 ◽

Vol 278 (11) ◽

pp. 1341-1358 ◽

Author(s):

Yong Zhou

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Source Terms ◽

Existence And Nonexistence ◽

Damping And Source Terms

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Global existence and blow up of positive initial energy solution of a quasilinear wave equation with nonlinear damping and source terms

International Journal of Dynamical Systems and Differential Equations ◽

10.1504/ijdsde.2020.109105 ◽

2020 ◽

Vol 10 (4) ◽

pp. 299

Author(s):

Paul A. Ogbiyele

Keyword(s):

Wave Equation ◽

Global Existence ◽

Blow Up ◽

Nonlinear Damping ◽

Initial Energy ◽

Energy Solution ◽

Source Terms ◽

Quasilinear Wave Equation ◽

Positive Initial Energy ◽

Damping And Source Terms

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Global existence and blow up of positive initial energy solution of a quasilinear wave equation with nonlinear damping and source terms

International Journal of Dynamical Systems and Differential Equations ◽

10.1504/ijdsde.2020.10031332 ◽

2020 ◽

Vol 10 (4) ◽

pp. 299

Author(s):

Paul A. Ogbiyele

Keyword(s):

Wave Equation ◽

Global Existence ◽

Blow Up ◽

Nonlinear Damping ◽

Initial Energy ◽

Energy Solution ◽

Source Terms ◽

Quasilinear Wave Equation ◽

Positive Initial Energy ◽

Damping And Source Terms

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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 ◽

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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Global existence, uniform decay and exponential growth for a class of semi-linear wave equation with strong damping

Acta Mathematica Scientia ◽

10.1016/s0252-9602(12)60193-3 ◽

2013 ◽

Vol 33 (1) ◽

pp. 41-58 ◽

Author(s):

Hua CHEN ◽

Gongwei LIU

Keyword(s):

Wave Equation ◽

Global Existence ◽

Exponential Growth ◽

Linear Wave ◽

Linear Wave Equation ◽

Uniform Decay ◽

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Asymptotic stability and blow-up for the wave equation with degenerate nonlocal nonlinear damping and source terms

Applicable Analysis ◽

10.1080/00036811.2020.1836354 ◽

2020 ◽

pp. 1-12

Author(s):

Hongwei Zhang ◽

Donghao Li ◽

Wenxiu Zhang ◽

Qingying Hu

Keyword(s):

Wave Equation ◽

Asymptotic Stability ◽

Blow Up ◽

Nonlinear Damping ◽

Source Terms ◽

Damping And Source Terms ◽

Nonlocal Nonlinear

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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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