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Strichartz estimates for the Schroedinger equation on non-rectangular two-dimensional tori
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Deng, Yu, Germain, Pierre, Guth, Larry and Rydin Myerson, Simon L. (2021) Strichartz estimates for the Schroedinger equation on non-rectangular two-dimensional tori. American Journal of Mathematics, 144 (3). pp. 701-745. doi:10.1353/ajm.2022.0014 ISSN 0002-9327.
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Official URL: https://doi.org/10.1353/ajm.2022.0014
Abstract
We propose a conjecture for long time Strichartz estimates on generic (non-rectangular) at 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.
| Item Type: | Journal Article | ||||||||||||||||||
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| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||||||||
| Library of Congress Subject Headings (LCSH): | Schrödinger equation, Weyl groups , Diophantine equations | ||||||||||||||||||
| Journal or Publication Title: | American Journal of Mathematics | ||||||||||||||||||
| Publisher: | The Johns Hopkins University Press | ||||||||||||||||||
| ISSN: | 0002-9327 | ||||||||||||||||||
| Official Date: | 1 June 2021 | ||||||||||||||||||
| Dates: |
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| Volume: | 144 | ||||||||||||||||||
| Number: | 3 | ||||||||||||||||||
| Page Range: | pp. 701-745 | ||||||||||||||||||
| DOI: | 10.1353/ajm.2022.0014 | ||||||||||||||||||
| Status: | Peer Reviewed | ||||||||||||||||||
| Publication Status: | Published | ||||||||||||||||||
| Reuse Statement (publisher, data, author rights): | Copyright © 2022 Johns Hopkins University Press. This article first appeared in American Journal of Mathematics, 144 (3). (2022) pp. 701-745. Reprinted with permission by Johns Hopkins University Press. | ||||||||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||||||||||||
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| Date of first compliant deposit: | 19 May 2021 | ||||||||||||||||||
| Date of first compliant Open Access: | 20 May 2021 | ||||||||||||||||||
| RIOXX Funder/Project Grant: |
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| Is Part Of: | 1 | ||||||||||||||||||
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