Subexponential behaviour of the Dirichlet heat kernel

M van den Berg

doi:10.1016/S0022-1236(02)00056-3

Subexponential behaviour of the Dirichlet heat kernel

M van den Berg

Research output: Contribution to journal › Article (Academic Journal) › peer-review

15 Citations (Scopus)

Abstract

We obtain a formula for the asymptotic behaviour of the Dirichlet heat kernel for large time in terms of the survival probability of a Brownian motion, under the assumption that the latter decays subexponentially for large time. We also obtain a lower bound for the Dirichlet heat kernel for arbitrary open and connected sets in Euclidean space. (C) 2002 Elsevier Science (USA). All rights reserved.

Translated title of the contribution	Subexponential behaviour of the Dirichlet heat kernel
Original language	English
Pages (from-to)	28 - 42
Number of pages	15
Journal	Journal of Functional Analysis
Volume	198 (1)
DOIs	https://doi.org/10.1016/S0022-1236(02)00056-3
Publication status	Published - Feb 2003

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Publisher: Academic Press
Other identifier: IDS number 655HU

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title = "Subexponential behaviour of the Dirichlet heat kernel",

abstract = "We obtain a formula for the asymptotic behaviour of the Dirichlet heat kernel for large time in terms of the survival probability of a Brownian motion, under the assumption that the latter decays subexponentially for large time. We also obtain a lower bound for the Dirichlet heat kernel for arbitrary open and connected sets in Euclidean space. (C) 2002 Elsevier Science (USA). All rights reserved.",

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year = "2003",

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doi = "10.1016/S0022-1236(02)00056-3",

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T1 - Subexponential behaviour of the Dirichlet heat kernel

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N1 - Publisher: Academic Press Other identifier: IDS number 655HU

PY - 2003/2

Y1 - 2003/2

N2 - We obtain a formula for the asymptotic behaviour of the Dirichlet heat kernel for large time in terms of the survival probability of a Brownian motion, under the assumption that the latter decays subexponentially for large time. We also obtain a lower bound for the Dirichlet heat kernel for arbitrary open and connected sets in Euclidean space. (C) 2002 Elsevier Science (USA). All rights reserved.

AB - We obtain a formula for the asymptotic behaviour of the Dirichlet heat kernel for large time in terms of the survival probability of a Brownian motion, under the assumption that the latter decays subexponentially for large time. We also obtain a lower bound for the Dirichlet heat kernel for arbitrary open and connected sets in Euclidean space. (C) 2002 Elsevier Science (USA). All rights reserved.

U2 - 10.1016/S0022-1236(02)00056-3

DO - 10.1016/S0022-1236(02)00056-3

M3 - Article (Academic Journal)

SN - 1096-0783

VL - 198 (1)

SP - 28

EP - 42

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

ER -

Subexponential behaviour of the Dirichlet heat kernel

Abstract

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