Heat flow and Brownian motion for a region in R2 with a polygonal boundary

M. van den Berg, S. Srisatkunarajah

Research output: Contribution to journalArticle

Abstract

Consider the following heat conduction problem. Let D be an open, bounded and connected set in euclidean space R2 with a polygonal boundary. Suppose that D has temperature 1 at time t=0, while the boundary is kept at temperature 0 for all time t>0. We obtain the asymptotic behaviour for the amount of heat in D at time t up to O(e-q/t) as t?0. © 1990 Springer-Verlag.

Original languageEnglish
Pages (from-to)41-52
Number of pages12
JournalProbability Theory and Related Fields
Volume86
Issue number1
DOIs
Publication statusPublished - Mar 1990

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