A remark on Strichartz estimates for Schrödinger equations with slowly decaying potentials
- Resource Type
- Authors
- Kouichi Taira
- Source
- Proceedings of the American Mathematical Society. 150:3953-3958
- Subject
- Applied Mathematics
General Mathematics
- Language
- ISSN
- 1088-6826
0002-9939
In this short note, we prove Strichartz estimates for Schrödinger operators with slowly decaying singular potentials in dimension two. This is a generalization of the recent results by Mizutani, which are stated for dimension greater than two. The main ingredient of the proof is a variant of Kato’s smoothing estimate with a singular weight.