{"title":"非线性变指数半线性随机抛物方程","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":"{\"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}","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}
SEMILINEAR STOCHASTIC PARABOLIC EQUATION WITH VARIABLE EXPONENT OF NONLINEARITY
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