Nodal domains, spectral minimal partitions, and their relation to Aharonov-Bohm operators
Overview & Synopsis
This survey is a short version of a chapter written by the first two authors in the book [A. Henrot, editor. Shape optimization and spectral theory. Berlin: De Gruyter, 2017] (where more details and references are given) but we have decided here to put more emphasis on the role of the Aharonov-Bohm operators which appear to be a useful tool coming from physics for understanding a problem motivated either by spectral geometry or dynamics of population. Similar questions appear also in Bose-Einstein theory. Finally some open problems which might be of interest are mentioned.
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Document Information
| Document Title | Nodal domains, spectral minimal partitions, and their relation to Aharonov-Bohm operators |
|---|---|
| Author / Organization | Virginie Bonnaillie-Noël, Bernard Helffer, Thomas Hoffmann-Ostenhof |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2017 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-169721 |
| Original Source Link | Visit Source Page on hal.science » |