Semiclassical Asymptotics on Manifolds with Boundary
| dc.creator | Koldan, Nilufer | |
| dc.creator | Prokhorenkov, Igor | |
| dc.creator | Shubin, Mikhail | |
| dc.date | 2008-03-17 | |
| dc.date.accessioned | 2026-07-07T09:27:11Z | |
| dc.date.available | 2026-07-07T09:27:11Z | |
| dc.description | We discuss semiclassical asymptotics for the eigenvalues of the Witten Laplacian for compact manifolds with boundary in the presence of a general Riemannian metric. To this end, we modify and use the variational method suggested by Kordyukov, Mathai and Shubin (2005), with a more extended use of quadratic forms instead of the operators. We also utilize some important ideas and technical elements from Helffer and Nier (2006), who were the first to supply a complete proof of the full semi-classical asymptotic expansions for the eigenvalues with fixed numbers. | |
| dc.description | 28 pages | |
| dc.identifier | https://arxiv.org/abs/0803.2502 | |
| dc.identifier | http://arxiv.org/abs/0803.2502 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157006 | |
| dc.subject | Spectral Theory | |
| dc.subject | Differential Geometry | |
| dc.subject | 58J37; 58J50; 35P20 | |
| dc.title | Semiclassical Asymptotics on Manifolds with Boundary | |
| dc.type | text |