Global existence of quasilinear, nonrelativistic wave equations satisfying the null condition

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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.descriptionWe prove global existence of solutions to multiple speed, Dirichlet-wave equations with quadratic nonlinearities satisfying the null condition in the exterior of compact obstacles. This extends the result of our previous paper by allowing general higher order terms. In the currect setting, these terms are much more difficult to handle than for the free wave equation, and we do so using an analog of a pointwise estimate due to Kubota and Yokoyama.
dc.description65 pages
dc.identifierhttps://arxiv.org/abs/math/0409363
dc.identifierhttp://arxiv.org/abs/math/0409363
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72546
dc.subjectAnalysis of PDEs
dc.subject35L70; 42B99
dc.titleGlobal existence of quasilinear, nonrelativistic wave equations satisfying the null condition
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