## Abstract

Consider the following heat conduction problem. Let D be an open, bounded and connected set in euclidean space R^{2} 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 language | English |
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Pages (from-to) | 41-52 |

Number of pages | 12 |

Journal | Probability Theory and Related Fields |

Volume | 86 |

Issue number | 1 |

DOIs | |

Publication status | Published - Mar 1990 |

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