{"title":"随机 p(t,x)-拉普拉斯方程解的存在性及其应用","authors":"Chen Liang, Lixu Yan, Yongqiang Fu","doi":"10.58997/ejde.2024.27","DOIUrl":null,"url":null,"abstract":"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\nFor more information see https://ejde.math.txstate.edu/Volumes/2024/27/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Existence of solutions to stochastic p(t,x)-Laplace equations and applications\",\"authors\":\"Chen Liang, Lixu Yan, Yongqiang Fu\",\"doi\":\"10.58997/ejde.2024.27\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"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\\nFor more information see https://ejde.math.txstate.edu/Volumes/2024/27/abstr.html\",\"PeriodicalId\":49213,\"journal\":{\"name\":\"Electronic Journal of Differential Equations\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-03-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Electronic Journal of Differential Equations\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.58997/ejde.2024.27\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electronic Journal of Differential Equations","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.58997/ejde.2024.27","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
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/abstr.html
期刊介绍：
All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.
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