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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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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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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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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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 Nonexistence of Solution to a Nonlinear Wave Equation

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/1440 ◽

2011 ◽

pp. 377-386

Author(s):

Nana Pan

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Existence And Nonexistence

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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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Global existence and nonexistence for nonlinear wave equations with damping and source terms

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-02-03034-9 ◽

2002 ◽

Vol 354 (9) ◽

pp. 3621-3637 ◽

Author(s):

Mohammad A. Rammaha ◽

Theresa A. Strei

Keyword(s):

Global Existence ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Source Terms ◽

Existence And Nonexistence ◽

Damping And Source Terms

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