Global Existence and Global Nonexistence of Solutions of the Cauchy Problem for a Nonlinearly Damped Wave Equation

In this paper we consider the long-time behavior of solutions of the initial value problem for semilinear wave equations of the form[formula]

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 228; no. 1; pp. 181 - 205
Main Authors Levine, Howard A, Park, Sang Ro, Serrin, James
Format Journal Article
LanguageEnglish
Published San Diego, CA Elsevier Inc 01.12.1998
Elsevier
Subjects
Classical and quantum physics: mechanics and fields
Classical mechanics of continuous media: general mathematical aspects
Exact sciences and technology
Mathematical analysis
Mathematics
Partial differential equations
Physics
Sciences and techniques of general use
Waves and wave propagation: general mathematical aspects
Wave equation
Damping
Weak solution
Propagation
Bounded domain
Initial value problem
Global existence
Behavior
Properties
Dissipation function
Partial differential equation
Cauchy problem
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Summary:In this paper we consider the long-time behavior of solutions of the initial value problem for semilinear wave equations of the form[formula]
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.1998.6126