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2013 Estimates for Dirichlet Heat Kernels, Intrinsic Ultracontractivity and Expected Exit Time on Lipschitz Domains
Lotfi Riahi
Commun. Math. Anal. 15(1): 115-130 (2013).

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

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Lotfi Riahi . "Estimates for Dirichlet Heat Kernels, Intrinsic Ultracontractivity and Expected Exit Time on Lipschitz Domains." Commun. Math. Anal. 15 (1) 115 - 130, 2013.

Information

Published: 2013
First available in Project Euclid: 18 July 2013

zbMATH: 1277.31014
MathSciNet: MR3082267

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Rights: Copyright © 2013 Mathematical Research Publishers

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Vol.15 • No. 1 • 2013
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