Existence and blow up of small-amplitude nonlinear waves with a sign-changing potential

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dc.creatorKarageorgis, Paschalis
dc.date2005-03-09
dc.date.accessioned2026-07-07T05:17:48Z
dc.date.available2026-07-07T05:17:48Z
dc.descriptionWe study the nonlinear wave equation with a sign-changing potential in any space dimension. If the potential is small and rapidly decaying, then the existence of small-amplitude solutions is driven by the nonlinear term. If the potential induces growth in the linearized problem, however, solutions that start out small may blow-up in finite time.
dc.description34 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0503171
dc.identifierhttp://arxiv.org/abs/math/0503171
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74441
dc.subjectAnalysis of PDEs
dc.subject35C15; 35L05; 35L15
dc.titleExistence and blow up of small-amplitude nonlinear waves with a sign-changing potential
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