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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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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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 of Critical Nonlinear Wave Equation with Time Dependent Variable Coefficients

Communications in Partial Differential Equations ◽

10.1080/03605302.2012.715705 ◽

2012 ◽

Vol 37 (11) ◽

pp. 1913-1939 ◽

Author(s):

Ning-An Lai ◽

Yi Zhou

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Variable Coefficients ◽

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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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EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTIONS FOR A NONLINEAR WAVE EQUATION

Taiwanese Journal of Mathematics ◽

10.11650/twjm/1500405658 ◽

2009 ◽

Vol 13 (6B) ◽

pp. 2069-2091 ◽

Author(s):

Shun-Tang Wu ◽

Long-Yi Tsai

Keyword(s):

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Global Solutions ◽

Existence And Nonexistence

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Global existence of solutions for 1-D nonlinear wave equation of sixth order at high initial energy level

Boundary Value Problems ◽

10.1186/1687-2770-2014-31 ◽

2014 ◽

Vol 2014 (1) ◽

pp. 31 ◽

Author(s):

Jihong Shen ◽

Yanbing Yang ◽

Runzhang Xu

Keyword(s):

Wave Equation ◽

Energy Level ◽

Global Existence ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Existence Of Solutions ◽

Initial Energy ◽

Sixth Order ◽

Global Existence Of Solutions

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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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Global existence and blow-up of solutions for a nonlinear wave equation with memory

Journal of Inequalities and Applications ◽

10.1186/1029-242x-2012-33 ◽

2012 ◽

Vol 2012 (1) ◽

Author(s):

Fei Liang ◽

Hongjun Gao

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Blow Up ◽

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