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arXiv · 1902.08940

Strichartz estimates for the Schr\"odinger propagator in Wiener amalgam spaces

Seongyeon Kim·Youngwoo Koh·Ihyeok Seo
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Abstract

In this paper we study the Strichartz estimates for the Schr\"odinger propagator in the context of Wiener amalgam spaces which, unlike the Lebesgue spaces, control the local regularity of a function and its decay at infinity separately. This separability makes it possible to perform a finer analysis of the local and global behavior of the propagator. Our results improve some of the classical ones in the case of large time.

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Seongyeon Kim, Youngwoo Koh, Ihyeok Seo. 2019-02-24. Strichartz estimates for the Schr\"odinger propagator in Wiener amalgam spaces. https://arxiv.org/abs/1902.08940

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