Large time behavior of the heat kernel
| dc.creator | Pinchover, Yehuda | |
| dc.date | 2002-06-26 | |
| dc.date.accessioned | 2026-07-07T04:49:23Z | |
| dc.date.available | 2026-07-07T04:49:23Z | |
| dc.description | In this paper we study the large time behavior of the (minimal) heat kernel $k_P^M(x,y,t)$ of a general time independent parabolic operator $L=u_t+P(x, \partial_x)$ which is defined on a noncompact manifold $M$. More precisely, we prove that $$\lim_{t\to\infty} e^{λ_0 t}k_P^{M}(x,y,t)$$ always exists. Here $λ_0$ is the generalized principal eigenvalue of the operator $P$ in $M$. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0206281 | |
| dc.identifier | http://arxiv.org/abs/math/0206281 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64406 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Probability | |
| dc.subject | 35K10; 60J60; 35B40; 58J35 | |
| dc.title | Large time behavior of the heat kernel | |
| dc.type | text |