Abstract
We prove pointwise estimates for the heat kernel of a secondorder elliptic operator with Dirichlet boundary conditions on a bounded Lipschitz domain in $\mathbb{R}^n,\, n\geq 1$. Applications to obtain estimates for intrinsic ultracontractivity of the heat semigroup and expected exit time of a Brownian motion are given.
Citation
Lotfi Riahi . "Estimates for Dirichlet Heat Kernels, Intrinsic Ultracontractivity and Expected Exit Time on Lipschitz Domains." Commun. Math. Anal. 15 (1) 115 - 130, 2013.
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