Global existence for semilinear wave equations exterior to nontrapping obstacles

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dc.creatorMetcalfe, Jason
dc.date2002-10-16
dc.date2003-02-21
dc.date.accessioned2026-07-07T04:52:01Z
dc.date.available2026-07-07T04:52:01Z
dc.descriptionIn this paper, we show global existence, in spatial dimensions greater than or equal to four, for semilinear wave equations with quadratic nonlinearities exterior to a nontrapping obstacle. This extends the previous work of Shibata-Tsutsumi and Hayashi. Shibata-Tsutsumi showed the result for spatial dimensions greater than or equal to 6, and Hayashi proved the result exterior to a ball.
dc.identifierhttps://arxiv.org/abs/math/0210246
dc.identifierhttp://arxiv.org/abs/math/0210246
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65316
dc.subjectAnalysis of PDEs
dc.subject35L05
dc.titleGlobal existence for semilinear wave equations exterior to nontrapping obstacles
dc.typetext

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