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arXiv · 1611.10275

Refinements of the 2-dimensional Strichartz estimate on the maximum wave packet

Hong Wang·Lingfu Zhang
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Abstract

The Strichartz estimates for Schrödinger equations can be improved when the data is spread out in either physical or frequency space. In this paper we give refinements of the 2-dimensional homogeneous Strichartz estimate on the maximum size of a single wave packet. Different approaches are used in the proofs, including arithmetic approaches, polynomial partitioning, and the $l^2$ Decoupling Theorem, for different cases. We also give examples to show that the refinements we obtain cannot be further improved when $2 \leq p \leq 4$ and $p = 6$.

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Hong Wang, Lingfu Zhang. 2016-12-21. Refinements of the 2-dimensional Strichartz estimate on the maximum wave packet. https://arxiv.org/abs/1611.10275

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