Global existence for Dirichlet-wave equations with quadratic nonlinearties in high dimensions

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dc.creatorMetcalfe, Jason
dc.creatorSogge, Christopher D.
dc.date2004-04-22
dc.date2005-04-08
dc.date.accessioned2026-07-07T05:07:39Z
dc.date.available2026-07-07T05:07:39Z
dc.descriptionWe prove global existence of solutions to quasilinear wave equations with quadratic nonlinearities exterior to nontrapping obstacles in spatial dimensions four and higher. This generalizes a result of Shibata and Tsutsumi in spatial dimensions greater than or equal to six. The technique of proof would allow for more complicated geometries provided that an appropriate local energy decay exists for the associated linear wave equation.
dc.descriptionSome corrections (per the referee's suggestions) were made in Section 3. 24 pages
dc.identifierhttps://arxiv.org/abs/math/0404420
dc.identifierhttp://arxiv.org/abs/math/0404420
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70944
dc.subjectAnalysis of PDEs
dc.subject35L70; 42B99
dc.titleGlobal existence for Dirichlet-wave equations with quadratic nonlinearties in high dimensions
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