Electron. J. Differential Equations, Vol. 2024 (2024), No. 27, pp. 1-18.

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

Chen Liang, Lixu Yan, Yongqiang Fu

Abstract:
In this article, we consider a stochastic \(p(t,x)\)-Laplace equation. First we use the Galerkin method toobtain a unique weak solution. Then we obtain optimal controls for the corresponding stochastic optimal control problem

Submitted October 7, 2023. Published March 27, 2024.
Math Subject Classifications: 35K92, 60H15.
Key Words: Stochastic p(t,x)-Laplace equation; weak solution; optimal control; Galerkin method.
DOI: 10.58997/ejde.2024.27

Show me the PDF file (402 KB), TEX file for this article.

Chen Liang
School of Mathematics,
Harbin Institute of Technology
Harbin, 150001, Heilongjiang, China
email: liangchen3515@163.com
Lixu Yan
Department of Mathematics
Northeast Forestry University
Harbin, 150040, Heilongjiang, China
email: yanlxmath@163.com
Yongqiang Fu
School of Mathematics
Harbin Institute of Technology
Harbin, 150001, Heilongjiang, China
email: fuyongqiang@hit.edu.cn

Return to the EJDE web page