{"title":"SEMILINEAR STOCHASTIC PARABOLIC EQUATION WITH VARIABLE EXPONENT OF NONLINEARITY","authors":"N. Buhrii, O. Buhrii, O. Domanska","doi":"10.30970/vmm.2022.93.108-121","DOIUrl":null,"url":null,"abstract":"Some nonlinear parabolic equation with the white noise is considered. The initial-boundary value problem for the equation is investigated and the existence and uniqueness of the weak solution for the problem are proved","PeriodicalId":277870,"journal":{"name":"Visnyk Lvivskogo Universytetu Seriya Mekhaniko-Matematychna","volume":"62 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Visnyk Lvivskogo Universytetu Seriya Mekhaniko-Matematychna","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30970/vmm.2022.93.108-121","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Some nonlinear parabolic equation with the white noise is considered. The initial-boundary value problem for the equation is investigated and the existence and uniqueness of the weak solution for the problem are proved