A probabilistic solution of the Neumann problem for the Poisson equation in a Hilbert space domain
type: Item
instance of: scholarly article
title: A probabilistic solution of the Neumann problem for the Poisson equation in a Hilbert space domain
zbMATH Open document ID: 0914.28011
author: N. N. Shamarov
published in: Moscow University Mathematics Bulletin
publication date: 1998-03-29T00:00:00Z
review text: The author derives a formula expressing the solution of the Neumann problem in a domain of the Hilbert space with smooth boundary. To this end a functional is constructed with the use of mapped Brownian motion in the given domain and an integration with respect to Wiener measure is carried out.
Mathematics Subject Classification ID: 28C20
Mathematics Subject Classification ID: 35R15
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 1134971
zbMATH Keywords: Neumann problem
zbMATH Keywords: probability solution
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1134971