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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Veröffentlicht in:	Journal of mathematical analysis and applications 1998-12, Vol.228 (1), p.181-205
Hauptverfasser:	Levine, Howard A, Park, Sang Ro, Serrin, James
Format:	Artikel
Sprache:	eng
Schlagworte:	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
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Beschreibung
Zusammenfassung:	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