On the Fundamental Eigenvalues gap of Sturm-Liouville Operators
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916310268510208 |
|---|---|
| author | Ahrami, Mohammed Allali, Zakaria El Harrell II, Evans M. |
| author_facet | Ahrami, Mohammed Allali, Zakaria El Harrell II, Evans M. |
| contents | We use methods of direct optimization as in [9] to find the minimizers of the fundamental gap of Sturm-Liouville operators on an interval, under the constraint that the potential is of single-well form and that the weight function is of single-barrier form, and under similar constraints expressed in terms of convexity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_02459 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Fundamental Eigenvalues gap of Sturm-Liouville Operators Ahrami, Mohammed Allali, Zakaria El Harrell II, Evans M. Spectral Theory 34L15, 34B27, 35J60, 35B05 We use methods of direct optimization as in [9] to find the minimizers of the fundamental gap of Sturm-Liouville operators on an interval, under the constraint that the potential is of single-well form and that the weight function is of single-barrier form, and under similar constraints expressed in terms of convexity. |
| title | On the Fundamental Eigenvalues gap of Sturm-Liouville Operators |
| topic | Spectral Theory 34L15, 34B27, 35J60, 35B05 |
| url | https://arxiv.org/abs/2407.02459 |