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Berezin-Li-Yau inequalities on domains on the sphere
| File | Description | Size | Format | |
|---|---|---|---|---|
 IlynLaptev.pdf | Accepted version | 474.97 kB | Adobe PDF | View/Open |
| Title: | Berezin-Li-Yau inequalities on domains on the sphere |
| Authors: | Ilyin, A Laptev, A |
| Item Type: | Journal Article |
| Abstract: | We prove Berezin–Li–Yau inequalities for the Dirichlet and Neumann eigenvalues on domains on the sphere . A sharp explicit bound for the sums of the Neumann eigenvalues is obtained for all dimensions d. In the case of we also obtain sharp lower bounds with correction terms for the vector Laplacian and the Stokes operator. |
| Issue Date: | 15-May-2019 |
| Date of Acceptance: | 1-Jan-2019 |
| URI: | http://hdl.handle.net/10044/1/69293 |
| DOI: | https://doi.org/10.1016/j.jmaa.2019.01.020 |
| ISSN: | 0022-247X |
| Publisher: | Elsevier |
| Start Page: | 1253 |
| End Page: | 1269 |
| Journal / Book Title: | Journal of Mathematical Analysis and Applications |
| Volume: | 473 |
| Issue: | 2 |
| Copyright Statement: | © 2019 Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence http://creativecommons.org/licenses/by-nc-nd/4.0/. |
| Keywords: | Science & Technology Physical Sciences Mathematics, Applied Mathematics Berezin-Li-Yau inequalities Riesz means Estimation of eigenvalues Spherical harmonics EIGENVALUES BOUNDS SUMS 0101 Pure Mathematics 0102 Applied Mathematics 0906 Electrical and Electronic Engineering General Mathematics |
| Publication Status: | Published |
| Online Publication Date: | 2019-01-16 |
| Appears in Collections: | Pure Mathematics Faculty of Natural Sciences Mathematics |