Dirichlet problem for parabolic equations on Hilbert spaces

被引：9

作者：

Talarczyk, A ^{[1
]}

机构：

[1] Univ Warsaw, Fac Math Comp Sci & Mech, PL-02097 Warsaw, Poland

来源：

STUDIA MATHEMATICA | 2000年 / 141卷 / 02期

关键词：

D O I：

10.4064/sm-141-2-109-142

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a linear second order parabolic equation in an open subset of a separable Hilbert space, with the Dirichlet boundary condition. We prove that a probabilistic formula, analogous to one obtained in the finite-dimensional case, gives a solution to this equation. We also give a uniqueness result.

引用

页码：109 / 142

页数：34

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