Existence and nonexistence of global solutions for a class of nonlinear wave equations of higher order

Yu-Zhu Wang; Yin-Xia Wang

doi:10.1016/j.na.2010.02.025

Existence and nonexistence of global solutions for a class of nonlinear wave equations of higher order

Nonlinear Analysis ◽

10.1016/j.na.2010.02.025 ◽

2010 ◽

Vol 72 (12) ◽

pp. 4500-4507 ◽

Cited By ~ 9

Author(s):

Yu-Zhu Wang ◽

Yin-Xia Wang

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Global Solutions ◽

Higher Order ◽

Nonlinear Wave Equations ◽

Existence And Nonexistence

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On existence and nonexistence of global solutions of Cauchy–Goursat problem for nonlinear wave equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2007.09.030 ◽

2008 ◽

Vol 340 (2) ◽

pp. 1033-1045 ◽

Cited By ~ 10

Author(s):

O. Jokhadze

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Global Solutions ◽

Goursat Problem ◽

Nonlinear Wave Equations ◽

Existence And Nonexistence

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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 ◽

Cited By ~ 1

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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Existence of global solutions for nonlinear wave equations

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.58.391 ◽

1982 ◽

Vol 58 (9) ◽

pp. 391-394

Author(s):

Yoshiki Niwa

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Global Solutions ◽

Nonlinear Wave Equations

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Higher order estimates and smoothness of nonlinear wave equations

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1975-0377238-0 ◽

1975 ◽

Vol 51 (1) ◽

pp. 79-79 ◽

Cited By ~ 2

Author(s):

Michael C. Reed

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Higher Order ◽

Nonlinear Wave Equations

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EXACT SOLUTIONS FOR SEVERAL HIGHER-ORDER NONLINEAR WAVE EQUATIONS

Far East Journal of Applied Mathematics ◽

10.17654/fjammay2015_143_156 ◽

2015 ◽

Vol 91 (2) ◽

pp. 143-156

Author(s):

Yuan-Xi Xie

Keyword(s):

Exact Solutions ◽

Nonlinear Wave ◽

Wave Equations ◽

Higher Order ◽

Nonlinear Wave Equations

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Global solutions and finite time blow up for some system of nonlinear wave equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.10.005 ◽

2012 ◽

Vol 219 (8) ◽

pp. 3754-3768 ◽

Cited By ~ 1

Author(s):

Wei Xiao ◽

Yan Ping

Keyword(s):

Nonlinear Wave ◽

Finite Time ◽

Wave Equations ◽

Blow Up ◽

Global Solutions ◽

Nonlinear Wave Equations

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Global solutions for nonlinear wave equations with localized dissipations in exterior domains

Journal of Differential Equations ◽

10.1016/j.jde.2012.01.040 ◽

2012 ◽

Vol 252 (9) ◽

pp. 4742-4785 ◽

Cited By ~ 1

Author(s):

Makoto Nakamura

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Global Solutions ◽

Nonlinear Wave Equations ◽

Exterior Domains

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Non-existence of global solutions to nonlinear wave equations with positive initial energy

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2018048 ◽

2018 ◽

Vol 17 (3) ◽

pp. 987-999 ◽

Cited By ~ 2

Author(s):

Bilgesu A. Bilgin ◽

◽

Varga K. Kalantarov

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Global Solutions ◽

Initial Energy ◽

Nonlinear Wave Equations ◽

Positive Initial Energy

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Solitons and Other Solutions for Two Higher-Order Nonlinear Wave Equations of KdV Type Using the Unified Auxiliary Equation Method

Acta Physica Polonica A ◽

10.12693/aphyspola.136.33 ◽

2019 ◽

Vol 136 (1) ◽

pp. 33-41

Author(s):

E. Zayed ◽

R. Shohib

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Higher Order ◽

Equation Method ◽

Nonlinear Wave Equations ◽

Auxiliary Equation ◽

Auxiliary Equation Method

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Existence and nonexistence of a global solution for coupled nonlinear wave equations with damping and source

Nonlinear Analysis ◽

10.1016/j.na.2010.01.028 ◽

2010 ◽

Vol 72 (11) ◽

pp. 3969-3975 ◽

Cited By ~ 9

Author(s):

Jieqiong Wu ◽

Shengjia Li ◽

Shugen Chai

Keyword(s):

Global Solution ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Existence And Nonexistence

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