On the weak formulation of the stochastic obstacle problems
Technology reports of the Yamaguchi University Volume 5 Issue 1
Page 41-49
published_at 1992-12
Title
On the weak formulation of the stochastic obstacle problems
Source Identifiers
This paper is concerned with the weak formulation of stochastic obstacle problems. First, a mathematical model of a stochastic obstacle problem is given in a form of a variational inequality. The weak solution of the stochastic obstacle problem is defined. The relation between the weak solution and the strong one is stated. Secondly, under some conditions, it is proved that the weak solution exists by using the method of penalization. Finally, the existence of the maximum solution of the weak solution is shown. The mathematical formulation of stochastic obstacle problems by the strong solution is valid only for a one dimensional spatial variable, however, the weak solution proposed here enables to formulate the stochastic obstacle problems in a multi-dimensional spatial region.
Languages
eng
Resource Type
departmental bulletin paper
Publishers
山口大学工学部
Date Issued
1992-12
File Version
Version of Record
Access Rights
open access
Relations
[ISSN]0386-3433
[NCID]AA0086073X
Schools
工学部