Weighted Strichartz estimates for the Schrödinger and wave equations on Damek–Ricci spaces
✍ Scribed by Vittoria Pierfelice
- Publisher
- Springer-Verlag
- Year
- 2007
- Tongue
- French
- Weight
- 256 KB
- Volume
- 260
- Category
- Article
- ISSN
- 0025-5874
No coin nor oath required. For personal study only.
📜 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
In this paper I prove a L p &L p estimate for the solutions to the one-dimensional Schro dinger equation with a potential in L 1 # where in the generic case #>3Â2 and in the exceptional case (i.e., when there is a half-bound state of zero energy) #>5Â2. I use this estimate to construct the scatterin