{"title":"具有反单调项的spde的一种有序方法。","authors":"Luca Scarpa, Ulisse Stefanelli","doi":"10.1007/s40072-019-00161-7","DOIUrl":null,"url":null,"abstract":"<p><p>We consider a class of parabolic stochastic partial differential equations featuring an antimonotone nonlinearity. The existence of unique maximal and minimal variational solutions is proved via a fixed-point argument for nondecreasing mappings in ordered spaces. This relies on the validity of a comparison principle.</p>","PeriodicalId":74872,"journal":{"name":"Stochastic partial differential equations : analysis and computations","volume":"8 4","pages":"819-832"},"PeriodicalIF":0.0000,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7661428/pdf/","citationCount":"0","resultStr":"{\"title\":\"An order approach to SPDEs with antimonotone terms.\",\"authors\":\"Luca Scarpa, Ulisse Stefanelli\",\"doi\":\"10.1007/s40072-019-00161-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>We consider a class of parabolic stochastic partial differential equations featuring an antimonotone nonlinearity. The existence of unique maximal and minimal variational solutions is proved via a fixed-point argument for nondecreasing mappings in ordered spaces. This relies on the validity of a comparison principle.</p>\",\"PeriodicalId\":74872,\"journal\":{\"name\":\"Stochastic partial differential equations : analysis and computations\",\"volume\":\"8 4\",\"pages\":\"819-832\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7661428/pdf/\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Stochastic partial differential equations : analysis and computations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s40072-019-00161-7\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2020/1/3 0:00:00\",\"PubModel\":\"Epub\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Stochastic partial differential equations : analysis and computations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s40072-019-00161-7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2020/1/3 0:00:00","PubModel":"Epub","JCR":"","JCRName":"","Score":null,"Total":0}
An order approach to SPDEs with antimonotone terms.
We consider a class of parabolic stochastic partial differential equations featuring an antimonotone nonlinearity. The existence of unique maximal and minimal variational solutions is proved via a fixed-point argument for nondecreasing mappings in ordered spaces. This relies on the validity of a comparison principle.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
