The dynamics of a nonlinear wave equation

We consider a wave equation in a bounded domain with linear dissipation and with a nonlinear source term. We give characterizations of all the solutions with respect to their qualitative properties: globality, boundedness, nonglobality, blow-up, and convergence to equilibria.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2003-03, Vol.279 (1), p.135-150
Main Author: Esquivel-Avila, Jorge A
Format: Article
Language:English
Subjects:
Exact sciences and technology
Mathematical analysis
Mathematics
Partial differential equations
Sciences and techniques of general use
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Description
Summary:We consider a wave equation in a bounded domain with linear dissipation and with a nonlinear source term. We give characterizations of all the solutions with respect to their qualitative properties: globality, boundedness, nonglobality, blow-up, and convergence to equilibria.
ISSN:0022-247X
1096-0813
DOI:10.1016/S0022-247X(02)00701-1