{"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":0,"journal":{"name":"","volume":"83 2","pages":""},"PeriodicalIF":0.0,"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\":0,\"journal\":{\"name\":\"\",\"volume\":\"83 2\",\"pages\":\"\"},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-03-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.58997/ejde.2024.27\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.58997/ejde.2024.27","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","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
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