Counterexamples to Strichartz estimates for the wave equation in domains
✍ Scribed by Oana Ivanovici
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 531 KB
- Volume
- 347
- Category
- Article
- ISSN
- 0025-5831
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📜 SIMILAR VOLUMES
## Abstract We study the dispersive properties of the Schrödinger equation. Precisely, we look for estimates which give a control of the local regularity and decay at infinity __separately__. The Banach spaces that allow such a treatment are the Wiener amalgam spaces, and Strichartz‐type estimates
Consider the initial boundary value problem for the linear dissipative wave equation ( + ∂ t )u = 0 in an exterior domain Ω ⊂ R N . Using the so-called cut-off method together with local energy decay and L 2 decays in the whole space, we study decay estimates of the solutions. In particular, when N