A remark on Strichartz estimates for Schr\'odinger equations with slowly decaying potentials

Autor: Taira, Kouichi
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
Popis: In this short note, we prove Strichartz estimates for Schr\"odinger 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.
Comment: 5 pages
Databáze: arXiv