Courant’s nodal domain theorem for positivity preserving forms
- We introduce a notion of nodal domains for positivity preserving forms. This notion generalizes the classical ones for Laplacians on domains and on graphs. We prove the Courant nodal domain theorem in this generalized setting using purely analytical methods.
| Author details: | Matthias KellerORCiDGND, Michael SchwarzGND |
|---|---|
| DOI: | https://doi.org/10.4171/JST/292 |
| ISSN: | 1664-039X |
| ISSN: | 1664-0403 |
| Title of parent work (English): | Journal of spectral theory |
| Publisher: | EMS Publishing House |
| Place of publishing: | Zürich |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2020/01/01 |
| Publication year: | 2020 |
| Release date: | 2023/01/09 |
| Tag: | Dirichlet form; Nodal domain; compact resolvent; eigenfunction |
| Volume: | 10 |
| Issue: | 1 |
| Number of pages: | 39 |
| First page: | 271 |
| Last Page: | 309 |
| Funding institution: | transnational E-RARE grant `CCMCURE (DFG)European Commission [SFB958]; E-RARE [ERL 138397]; Canadian; Institutes for Health ResearchCanadian Institutes of Health Research; (CIHR) [PJT 153000]; the E-RARE grant `CCMCURE |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Peer review: | Referiert |
