Heat kernel estimates and Harnack inequalities for some Dirichlet forms with non-local part
| dc.creator | Foondun, Mohammud | |
| dc.date | 2009-01-26 | |
| dc.date.accessioned | 2026-07-07T12:34:47Z | |
| dc.date.available | 2026-07-07T12:34:47Z | |
| dc.description | We consider the Dirichlet form given by \sE(f,f)&=&{1/2}\int_{\bR^d}\sum_{i,j=1}^d a_{ij}(x)\frac{\partial f(x)}{\partial x_i} \frac{\partial f(x)}{\partial x_j} dx &+&\int_{\bR^d\times \bR^d} (f(y)-f(x))^2J(x,y)dxdy. Under the assumption that the $\{a_{ij}\}$ are symmetric and uniformly elliptic and with suitable conditions on $J$, the nonlocal part, we obtain upper and lower bounds on the heat kernel of the Dirichlet form. We also prove a Harnack inequality and a regularity theorem for functions that are harmonic with respect to $\sE$. | |
| dc.identifier | https://arxiv.org/abs/0901.4127 | |
| dc.identifier | http://arxiv.org/abs/0901.4127 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217560 | |
| dc.subject | Probability | |
| dc.subject | 60J35, 60J75 | |
| dc.title | Heat kernel estimates and Harnack inequalities for some Dirichlet forms with non-local part | |
| dc.type | text |