Global existence and blow-up phenomena for a nonlinear wave equation

Jianghao Hao, Yajing Zhang, Shengjia Li

Type: Article

Publication Date: 2009-03-30

Citations: 16

DOI: https://doi.org/10.1016/j.na.2009.03.058

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Nonlinear Analysis - View

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+	Global existence and blowup of solutions for nonlinear coupled wave equations with viscoelastic terms	2015	Jianghao Hao Li Cai
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+ PDF Chat	Global nonexistence of solutions for a quasilinear wave equation with acoustic boundary conditions	2017	Jin‐Mun Jeong Jong‐Yeoul Park Yong Han Kang
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Works Cited by This (21)

Action	Title	Year	Authors
+ PDF Chat	Blow up of solutions of the Cauchy problem for a wave equation with nonlinear damping and source terms and positive initial energy	2000	Howard A. Levine Grozdena Todorova
+	Global Nonexistence for Abstract Evolution Equations with Positive Initial Energy	1998	Patrizia Pucci James Serrin
+	Decay estimates for some semilinear damped hyperbolic problems	1988	Alain Haraux Enrique Zuazua
+	Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation	2005	Salim A. Messaoudi
+	Global Existence and Global Nonexistence of Solutions of the Cauchy Problem for a Nonlinearly Damped Wave Equation	1998	Howard A. Levine Sang Ro Park James Serrin
+	Some remarks on the wave equations with nonlinear damping and source terms	1996	Ryo Ikehata
+	Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations	1974	Howard A. Levine
+	Existence of a Solution of the Wave Equation with Nonlinear Damping and Source Terms	1994	Vladimir Georgiev Grozdena Todorova
+	Saddle points and instability of nonlinear hyperbolic equations	1975	L. E. Payne D. H. Sattinger
+	On global solution of nonlinear hyperbolic equations	1968	D. H. Sattinger