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

Adel M. Al-Mahdi; Mohammad M. Al-Gharabli; Mohammad Kafini; Shadi Al-Omari

doi:10.1063/5.0003515

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 ◽

Past History

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Global existence and asymptotic behavior of solutions to a nonlinear wave equation of fourth-order

Journal of Mathematical Physics ◽

10.1063/1.3677764 ◽

2012 ◽

Vol 53 (1) ◽

pp. 013512 ◽

Cited By ~ 9

Author(s):

Yu-Zhu Wang ◽

Yin-Xia Wang

Keyword(s):

Asymptotic Behavior ◽

Wave Equation ◽

Global Existence ◽

Nonlinear Wave ◽

Fourth Order ◽

Nonlinear Wave Equation ◽

Asymptotic Behavior Of Solutions

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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 ◽

Cited By ~ 4

Author(s):

Abbes Benaissa ◽

Naima Louhibi

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Energy Decay ◽

Delay Term ◽

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 ◽

Cited By ~ 2

Author(s):

Ning-An Lai ◽

Yi Zhou

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Variable Coefficients ◽

Time Dependent

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Blow up and asymptotic behavior in a nondissipative nonlinear wave equation

Applicable Analysis ◽

10.1080/00036811.2013.859250 ◽

2013 ◽

Vol 93 (9) ◽

pp. 1963-1978 ◽

Cited By ~ 4

Author(s):

Jorge A. Esquivel-Avila

Keyword(s):

Asymptotic Behavior ◽

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Blow Up

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Asymptotic behavior of solutions of a nonlinear wave equation

Boletim da Sociedade Brasileira de Matemática ◽

10.1007/bf02584823 ◽

1988 ◽

Vol 19 (1) ◽

pp. 141-150 ◽

Cited By ~ 3

Author(s):

Orlando Lopes

Keyword(s):

Asymptotic Behavior ◽

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Asymptotic Behavior Of Solutions

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ASYMPTOTIC BEHAVIOR FOR A STRONGLY DAMPED NONLINEAR WAVE EQUATION

Nonlinear Phenomena in Mathematical Sciences ◽

10.1016/b978-0-12-434170-8.50083-2 ◽

1982 ◽

pp. 663-670

Author(s):

Paul Massatt

Keyword(s):

Asymptotic Behavior ◽

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Strongly Damped

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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 ◽

Cited By ~ 21

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 ◽

Cited By ~ 2

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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Asymptotic Behavior for a Strongly Damped Nonlinear Wave Equation.

10.21236/ada090548 ◽

1980 ◽

Author(s):

Paul Massatt

Keyword(s):

Asymptotic Behavior ◽

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Strongly Damped

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