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Bounds for spectral projectors on the Euclidean cylinder
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Germain, Pierre and Rydin Myerson, Simon L. (2022) Bounds for spectral projectors on the Euclidean cylinder. Comptes Rendus Mathematique, 360 . pp. 1257-1262. doi:10.5802/crmath.378 ISSN 1631-073X.
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Official URL: https://doi.org/10.5802/crmath.378
Abstract
We prove essentially optimal bounds for norms of spectral projectors on thin spherical shells for the Laplacian on the cylinder (R/Z)*R. In contrast to previous investigations into spectral projectors on tori, having one unbounded dimension available permits a compact self-contained proof.
| Item Type: | Journal Article | |||||||||
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| Subjects: | Q Science > QA Mathematics | |||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||
| Library of Congress Subject Headings (LCSH): | Gross-Pitaevskii equations, Fourier series, Evolution equations, Nonlinear | |||||||||
| Journal or Publication Title: | Comptes Rendus Mathematique | |||||||||
| Publisher: | Elsevier Masson | |||||||||
| ISSN: | 1631-073X | |||||||||
| Official Date: | 8 December 2022 | |||||||||
| Dates: |
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| Volume: | 360 | |||||||||
| Page Range: | pp. 1257-1262 | |||||||||
| DOI: | 10.5802/crmath.378 | |||||||||
| Status: | Peer Reviewed | |||||||||
| Publication Status: | Published | |||||||||
| Access rights to Published version: | Open Access (Creative Commons) | |||||||||
| Date of first compliant deposit: | 31 May 2022 | |||||||||
| Date of first compliant Open Access: | 8 July 2022 | |||||||||
| RIOXX Funder/Project Grant: |
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