Local Asymmetry and the Inner Radius of Nodal Domains
| dc.creator | Mangoubi, Dan | |
| dc.date | 2007-03-22 | |
| dc.date | 2008-04-13 | |
| dc.date.accessioned | 2026-07-07T10:00:44Z | |
| dc.date.available | 2026-07-07T10:00:44Z | |
| dc.description | Let M be a closed Riemannian manifold of dimension n. Let f be an eigenfunction of the Laplace-Beltrami operator corresponding to an eigenvalue λ. We show that the volume of {f>0} inside any ball B whose center lies on {f=0} is > C|B|/λ^n. We apply this result to prove that each nodal domain contains a ball of radius > C/λ^n. | |
| dc.description | 12 pages, 1 figure; minor corrections; to appear in Comm. PDEs | |
| dc.identifier | https://arxiv.org/abs/math/0703663 | |
| dc.identifier | http://arxiv.org/abs/math/0703663 | |
| dc.identifier | Comm. Partial Differential Equations 33 (2008), no. 9, 1611--1621 | |
| dc.identifier | doi:10.1080/03605300802038577 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168407 | |
| dc.subject | Spectral Theory | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35P20; 58J50 | |
| dc.title | Local Asymmetry and the Inner Radius of Nodal Domains | |
| dc.type | text |