Counterexamples to the Strichartz inequalities for the wave equation in general domains with boundary

DOI10.4171/JEMS/335zbMath1254.35035arXiv0903.0048WikidataQ125020769 ScholiaQ125020769MaRDI QIDQ713952

Oana Ivanovici

Publication date: 19 October 2012

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.0048

zbMATH Keywords

Dirichlet boundary conditionscausticsconormal waves with cuspsgliding pointpropagation and reflection of singularities

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) A priori estimates in context of PDEs (35B45) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Boundary value problems on manifolds (58J32) Spectral flows (58J30)

Related Items (7)

About the wave equation outside two strictly convex obstacles ⋮ Dispersion for the wave equation inside strictly convex domains. II: The general case ⋮ Dispersive estimates for the wave equation inside cylindrical convex domains ⋮ Strichartz estimates for the wave equation on a 2D model convex domain ⋮ Dispersion for the wave equation inside strictly convex domains. I: The Friedlander model case ⋮ New counterexamples to Strichartz estimates for the wave equation on a 2D model convex domain ⋮ Strichartz estimates for waves in the Friedlander model in dimension 3

Cites Work

• Strichartz estimates for the wave equation on manifolds with boundary
• Parametrix and propagation of singularities for the interior mixed hyperbolic problem
• On global Strichartz estimates for non-trapping metrics
• The cauchy problem for the critical nonlinear Schrödinger equation in Hs
• Global existence for energy critical waves in 3-d domains
• Global existence for energy critical waves in 3-D domains: Neumann boundary conditions

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