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.
Download full text files
Additional Services
| Author: | Ari Laptev, Tobias WethORCiDGND |
|---|---|
| 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 |
