STRICHARTZ ESTIMATES FOR THE SCHRÖDINGER EQUATION ON NON-RECTANGULAR TWO-DIMENSIONAL TORI

Yu Deng; Pierre Germain; Larry Guth; Simon L.Rydin Myerson

doi:10.1353/ajm.2022.0014

STRICHARTZ ESTIMATES FOR THE SCHRÖDINGER EQUATION ON NON-RECTANGULAR TWO-DIMENSIONAL TORI

Yu Deng, Pierre Germain, Larry Guth, Simon L.Rydin Myerson

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We propose a conjecture for long time Strichartz estimates on generic (non-rectangular) flat tori. We proceed to partially prove it in dimension 2. Our arguments involve on the one hand Weyl bounds; and on the other hands bounds on the number of solutions of Diophantine problems.

Original language	English (US)
Pages (from-to)	701-745
Number of pages	45
Journal	American Journal of Mathematics
Volume	144
Issue number	3
DOIs	https://doi.org/10.1353/ajm.2022.0014
State	Published - Jun 2022

ASJC Scopus subject areas

General Mathematics

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10.1353/ajm.2022.0014

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abstract = "We propose a conjecture for long time Strichartz estimates on generic (non-rectangular) flat tori. We proceed to partially prove it in dimension 2. Our arguments involve on the one hand Weyl bounds; and on the other hands bounds on the number of solutions of Diophantine problems.",

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STRICHARTZ ESTIMATES FOR THE SCHRÖDINGER EQUATION ON NON-RECTANGULAR TWO-DIMENSIONAL TORI

Abstract

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