Dispersive and Strichartz estimates for the wave equation in domains with boundary
Oana Ivanovici1
1 Université de Nice Sophia-Antipolis, Laboratoire J.A.Dieudonné, Parc Valrose 06108 Nice Cedex 02 FRANCE
Journées équations aux dérivées partielles (2010), article no. 11, 19 p.

In this note we consider a strictly convex domain Ω⊂ℝ d of dimension d≥2 with smooth boundary ∂Ω≠∅ and we describe the dispersive and Strichartz estimates for the wave equation with the Dirichlet boundary condition. We obtain counterexamples to the optimal Strichartz estimates of the flat case; we also discuss the some results concerning the dispersive estimates.

DOI: 10.5802/jedp.68
Oana Ivanovici 1

1 Université de Nice Sophia-Antipolis, Laboratoire J.A.Dieudonné, Parc Valrose 06108 Nice Cedex 02 FRANCE 
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Oana Ivanovici. Dispersive and Strichartz estimates for the wave equation in domains with boundary. Journées équations aux dérivées partielles (2010), article  no. 11, 19 p. doi : 10.5802/jedp.68. https://proceedings.centre-mersenne.org/articles/10.5802/jedp.68/

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