Null form estimates for (1/2,1/2) symbols and local existence for a quasilinear Dirichlet-wave equation

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dc.creatorSmith, Hart
dc.creatorSogge, Christopher D.
dc.date1999-12-26
dc.date.accessioned2026-07-07T05:32:29Z
dc.date.available2026-07-07T05:32:29Z
dc.descriptionThe authors show that bilinear estimates for null forms hold for Dirichlet-wave equations outside of convex obstacle. This generalizes results for the Euclidean case of Klainerman and Machedon, and of Sogge for the variable coefficient boundaryless case. The estimates are used to prove a local existence theorem for semilinear wave equations satisfying the null condition.
dc.descriptionTo appear in Annales Scientifiques L'Ecole Normale Superieure
dc.identifierhttps://arxiv.org/abs/math/9912207
dc.identifierhttp://arxiv.org/abs/math/9912207
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79675
dc.subjectAnalysis of PDEs
dc.subject35L20
dc.titleNull form estimates for (1/2,1/2) symbols and local existence for a quasilinear Dirichlet-wave equation
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