Spectral properties of the logarithmic Laplacian
- We obtain spectral inequalities and asymptotic formulae for the discrete spectrum of the operator 12log(−Delta) in an open set OmegaERd, d≥2, of finite measure with Dirichlet boundary conditions. We also derive some results regarding lower bounds for the eigenvalue Lambda1(Omega) and compare them with previously known inequalities.
Author: | Ari Laptev, Tobias WethORCiDGND |
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URN: | urn:nbn:de:hebis:30:3-635648 |
DOI: | https://doi.org/10.1007/s13324-021-00527-y |
ISSN: | 1664-235X |
Parent Title (English): | Analysis and Mathematical Physics |
Publisher: | Springer International Publishing AG |
Place of publication: | Cham (ZG) |
Document Type: | Article |
Language: | English |
Date of Publication (online): | 2021/06/29 |
Date of first Publication: | 2021/06/29 |
Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
Release Date: | 2022/04/11 |
Volume: | 11 |
Issue: | art. 133 |
Page Number: | 24 |
First Page: | 1 |
Last Page: | 24 |
HeBIS-PPN: | 494330627 |
Institutes: | Informatik und Mathematik |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
Sammlungen: | Universitätspublikationen |
Licence (German): | Creative Commons - Namensnennung 4.0 |