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arxiv: 1902.08940 · v2 · pith:GDQGJ5YKnew · submitted 2019-02-24 · 🧮 math.AP

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

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keywords propagatorspacesamalgamestimateslocalodingerschrstrichartz
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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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