Global Existence of Solution to Nonlinear Wave Equation with Damping and Source Terms

Acta Analysis Functionalis Applicata ◽

10.3724/sp.j.1160.2010.00001 ◽

2010 ◽

Vol 12 (1) ◽

pp. 1-5

Author(s):

Hongyinping FENG ◽

Shengjia LI ◽

Liqing LU

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Existence Of Solution ◽

Source Terms ◽

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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Exact conditions of blow-up and global existence for the nonlinear wave equation with damping and source terms

Nonlinear Dynamics ◽

10.1007/s11071-013-1116-0 ◽

2013 ◽

Vol 76 (1) ◽

pp. 139-146 ◽

Author(s):

Yi Jiang ◽

Yongle Zhang

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Blow Up ◽

Source Terms ◽

Damping And Source Terms

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Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms

Comptes Rendus de l Académie des Sciences - Series I - Mathematics ◽

10.1016/s0764-4442(97)89469-4 ◽

1998 ◽

Vol 326 (2) ◽

pp. 191-196 ◽

Author(s):

Grozdena Todorova

Keyword(s):

Cauchy Problem ◽

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Nonlinear Damping ◽

Source Terms ◽

Damping And Source Terms

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Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms

Nonlinear Analysis ◽

10.1016/s0362-546x(98)00317-4 ◽

2000 ◽

Vol 41 (7-8) ◽

pp. 891-905 ◽

Author(s):

Grozdena Todorova

Keyword(s):

Cauchy Problem ◽

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Nonlinear Damping ◽

Source Terms ◽

Damping And Source Terms

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Stable and unstable sets for the Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms

Comptes Rendus de l Académie des Sciences - Series I - Mathematics ◽

10.1016/s0764-4442(99)80148-7 ◽

1999 ◽

Vol 328 (2) ◽

pp. 117-122 ◽

Author(s):

Grozdena Todorova

Keyword(s):

Cauchy Problem ◽

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Nonlinear Damping ◽

Source Terms ◽

The Cauchy Problem ◽

Stable And Unstable Sets ◽

Damping And Source Terms

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Stable and Unstable Sets for the Cauchy Problem for a Nonlinear Wave Equation with Nonlinear Damping and Source Terms

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1999.6528 ◽

1999 ◽

Vol 239 (2) ◽

pp. 213-226 ◽

Author(s):

Grozdena Todorova

Keyword(s):

Cauchy Problem ◽

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Nonlinear Damping ◽

Source Terms ◽

The Cauchy Problem ◽

Stable And Unstable Sets ◽

Damping And Source Terms

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On the global existence and asymptotic behavior of the solution of a nonlinear wave equation with past history

Journal of Mathematical Physics ◽

10.1063/5.0003515 ◽

2021 ◽

Vol 62 (3) ◽

pp. 031512

Author(s):

Adel M. Al-Mahdi ◽

Mohammad M. Al-Gharabli ◽

Mohammad Kafini ◽

Shadi Al-Omari

Keyword(s):

Asymptotic Behavior ◽

Wave Equation ◽

Global Existence ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

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Global existence and energy decay of solutions to a nonlinear wave equation with a delay term

Georgian Mathematical Journal ◽

10.1515/gmj-2013-0006 ◽

2013 ◽

Vol 20 (1) ◽

pp. 1-24 ◽

Author(s):

Abbes Benaissa ◽

Naima Louhibi

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Energy Decay ◽

Decay Of Solutions

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Global existence and stability of a nonlinear wave equation with variable-exponent nonlinearities

Applicable Analysis ◽

10.1080/00036811.2018.1530760 ◽

2018 ◽

Vol 99 (8) ◽

pp. 1333-1343

Author(s):

Samah Ghegal ◽

Ilhem Hamchi ◽

Salim A. Messaoudi

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Variable Exponent ◽

Existence And Stability

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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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