Existence of solutions to stochastic p(t,x)-Laplace equations and applications

In this article, we consider a stochastic $p(t,x)$-Laplace equation. First we use the Galerkin method to obtain a unique weak solution. Then we obtain optimal controls for the corresponding stochastic optimal control problem For more information see https://ejde.math.txstate.edu/Volumes/2024/27/abst...

Full description

Saved in:
Bibliographic Details
Published in:Electronic journal of differential equations 2024-03, Vol.2024 (1-??), p.27-18
Main Authors: Liang, Chen, Yan, Lixu, Fu, Yongqiang
Format: Article
Language:English
Subjects:
galerkin method
optimal control
stochastic p(t,x)-laplace equation
weak solution
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this article, we consider a stochastic $p(t,x)$-Laplace equation. First we use the Galerkin method to obtain a unique weak solution. Then we obtain optimal controls for the corresponding stochastic optimal control problem For more information see https://ejde.math.txstate.edu/Volumes/2024/27/abstr.html
ISSN:1072-6691
1072-6691
DOI:10.58997/ejde.2024.27