Counterexamples to Strichartz estimates for the wave equation in domains

DOI10.1007/s00208-009-0454-1zbMath1201.35060arXiv0805.2901OpenAlexW2123606265WikidataQ125057514 ScholiaQ125057514MaRDI QIDQ971905

Oana Ivanovici

Publication date: 17 May 2010

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.2901

zbMATH Keywords

Dirichlet boundary conditionRayleigh whispering gallery modes

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) A priori estimates in context of PDEs (35B45)

Related Items (13)

Dispersion for the wave equation inside strictly convex domains. II: The general case ⋮ Dispersive estimates for the wave equation inside cylindrical convex domains ⋮ Dispersive estimates for the Schrödinger equation in a model convex domain and applications ⋮ Strichartz type estimates and the well-posedness of an energy critical 2D wave equation in a bounded domain ⋮ On the cubic NLS on 3D compact 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 ⋮ Strichartz estimates for the Schrödinger equation on~polygonal domains ⋮ On pointwise convergence for Schrödinger operator in a convex domain ⋮ On the energy critical Schrödinger equation in 3D non-trapping domains ⋮ New counterexamples to Strichartz estimates for the wave equation on a 2D model convex domain ⋮ Strichartz estimates for the wave equation on manifolds with boundary ⋮ Strichartz estimates for waves in the Friedlander model in dimension 3

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