On the principal eigenvalue of a Robin problem with a large parameter
| dc.creator | Levitin, Michael | |
| dc.creator | Parnovski, Leonid | |
| dc.date | 2004-03-10 | |
| dc.date | 2005-01-17 | |
| dc.date.accessioned | 2026-07-07T05:06:17Z | |
| dc.date.available | 2026-07-07T05:06:17Z | |
| dc.description | We study the asymptotic behaviour of the principal eigenvalue of a Robin (or generalised Neumann) problem with a large parameter in the boundary condition for the Laplacian in a piecewise smooth domain. We show that the leading asymptotic term depends only on the singularities of the boundary of the domain, and give either explicit expressions or two-sided estimates for this term in a variety of situations. | |
| dc.description | 16 pages; no figures; replaces math.SP/0403179; completely re-written | |
| dc.identifier | https://arxiv.org/abs/math/0403179 | |
| dc.identifier | http://arxiv.org/abs/math/0403179 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70417 | |
| dc.subject | Spectral Theory | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35P05; 35P15 | |
| dc.title | On the principal eigenvalue of a Robin problem with a large parameter | |
| dc.type | text |