Asymptotic of the Heat Kernel in General Benedicks Domains
Probability
2007-05-23 v1 Analysis of PDEs
Functional Analysis
Abstract
Using a new inequality relating the heat kernel and the probability of survival, we prove asymptotic ratio limit theorems for the heat kernel (and survival probability) in general Benedicks domains. In particular, the dimension of the cone of positive harmonic measures with Dirichlet boundary condition can be derived from the rate of convergence to zero of the heat kernel (or the survival probability).
Keywords
Cite
@article{arxiv.math/0203068,
title = {Asymptotic of the Heat Kernel in General Benedicks Domains},
author = {P. Collet and S. Martinez and J. San Martin},
journal= {arXiv preprint arXiv:math/0203068},
year = {2007}
}
Comments
14 pages