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

DOI10.1016/S0012-9593(00)00119-1zbMath1016.35008arXivmath/9912207MaRDI QIDQ2769907

Hart F. Smith, Christopher D. Sogge

Publication date: 20 August 2003

Published in: Annales Scientifiques de l'à cole Normale Supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9912207

zbMATH Keywords

exterior domainconvex obstacle problemDirichle initial boundary value problemlocal in time existence resultstrictly geodesically concave boundary

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15)

Related Items

Wave maps on \((1+2)\)-dimensional curved spacetimes, Global existence for a quasilinear wave equation outside of star-shaped domains

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