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