Berezin-Li-Yau inequalities on domains on the sphere
File(s)
Accepted version
Author(s)
Ilyin, Alexei
Laptev, Ari
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.
Date Issued
2019-05-15
Date Acceptance
2019-01-01
Citation
Journal of Mathematical Analysis and Applications, 2019, 473 (2), pp.1253-1269
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/.
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000459231500033&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
Berezin-Li-Yau inequalities
Riesz means
Estimation of eigenvalues
Spherical harmonics
EIGENVALUES
BOUNDS
SUMS
Publication Status
Published
Date Publish Online
2019-01-16