Global existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains

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dc.creatorMetcalfe, Jason
dc.creatorNakamura, Makoto
dc.creatorSogge, Christopher D.
dc.date2004-09-20
dc.date.accessioned2026-07-07T05:12:21Z
dc.date.available2026-07-07T05:12:21Z
dc.descriptionIn this paper we prove global existence for certain multispeed Dirichlet-wave equations with quadratic nonlinearities outside of obstacles. We assume the natural null condition for systems of quasilinear wave equations with multiple speeds. The null condition only puts restrictions on the self-interactions of each wave family. We use the method of commuting vector fields and weighted space-time $L^2$ estimates.
dc.description30 pages. To appear in Forum Math
dc.identifierhttps://arxiv.org/abs/math/0409362
dc.identifierhttp://arxiv.org/abs/math/0409362
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72545
dc.subjectAnalysis of PDEs
dc.subject35L70; 42B99
dc.titleGlobal existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains
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