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

Kouichi Taira

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arXiv · 2108.02900

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

Kouichi Taira

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Abstract

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.

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Kouichi Taira. 2021-08-06. A remark on Strichartz estimates for Schr\"odinger equations with slowly decaying potentials. https://arxiv.org/abs/2108.02900

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