Spectral properties of the logarithmic Laplacian
File(s)
Author(s)
Laptev, Ari
Weth, Tobias
Type
Journal Article
Abstract
We obtain spectral inequalities and asymptotic formulae for the discrete spectrum of the operator 12log(−Δ) in an open set Ω∈Rd, d≥2, of finite measure with Dirichlet boundary conditions. We also derive some results regarding lower bounds for the eigenvalue λ1(Ω) and compare them with previously known inequalities.
Date Issued
2021-09-01
Date Acceptance
2021-03-18
Citation
Analysis and Mathematical Physics, 2021, 11 (3), pp.1-24
ISSN
1664-235X
Publisher
Springer
Start Page
1
End Page
24
Journal / Book Title
Analysis and Mathematical Physics
Volume
11
Issue
3
Copyright Statement
© The Author(s) 2021. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution,
and reproduction in any medium, provided you give appropriate credit to the original author(s) and the
source, provide a link to the Creative Commons license, and indicate if changes were made.
and reproduction in any medium, provided you give appropriate credit to the original author(s) and the
source, provide a link to the Creative Commons license, and indicate if changes were made.
License URL
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000691136400002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
Publication Status
Published
Article Number
ARTN 133
Date Publish Online
2021-06-29