A Probabilistic Formula for a Poisson Equation with Neumann Boundary Condition
A Probabilistic Formula for a Poisson Equation with Neumann Boundary Condition
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具有诺伊曼边界条件的泊松方程的概率公式
DOI：
10.1080/07362990902976520
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发表时间：
2009
影响因子：
1.3
通讯作者：
Etienne Pardoux
中科院分区：
文献类型：
--
作者：
A. Benchérif;Etienne Pardoux
本文推广了Brosamler公式（见“A probabalistic solution to the Neumann problem，”Math.Scand.1976，38：137-147），给出了欧氏空间中有界区域上具有Neumann边界条件的非退化Poisson型方程的概率解.
Abstract In this work we extend Brosamler's formula (see “A probabalistic solution to the Neumann problem,” Math. Scand. 1976, 38:137–147) and give a probabilistic solution of a non degenerate Poisson type equation with Neumann boundary condition in a bounded domain of the Euclidean space.