Existence of weak solutions to the Cauchy problem of a semilinear wave equation with supercritical interior source and damping

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dc.creatorBociu, Lorena
dc.creatorRadu, Petronela
dc.date2008-11-13
dc.date.accessioned2026-07-07T10:18:03Z
dc.date.available2026-07-07T10:18:03Z
dc.descriptionIn this paper we show existence of finite energy solutions for the Cauchy problem associated with a semilinear wave equation with interior damping and supercritical source terms. The main contribution consists in dealing with super-supercritical source terms (terms of the order of $|u|^p$ with $p\geq 5$ in $n=3$ dimensions), an open and highly recognized problem in the literature on nonlinear wave equations.
dc.description12 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0811.2151
dc.identifierhttp://arxiv.org/abs/0811.2151
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174064
dc.subjectAnalysis of PDEs
dc.subject35L15; 35L70; 35L05
dc.titleExistence of weak solutions to the Cauchy problem of a semilinear wave equation with supercritical interior source and damping
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