{"title":"与彩色噪声驱动的随机反应扩散方程相关的静态方程和演化方程的 Schauder 估计值","authors":"Davide A. Bignamini, Simone Ferrari","doi":"10.1080/07362994.2024.2303099","DOIUrl":null,"url":null,"abstract":"We consider stochastic reaction-diffusion equations with colored noise on the space of real-valued and continuous functions on a compact subset of ℝd for d=1,2,3. We prove Schauder-type estimates, ...","PeriodicalId":49474,"journal":{"name":"Stochastic Analysis and Applications","volume":"250 1","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2024-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Schauder estimates for stationary and evolution equations associated to stochastic reaction-diffusion equations driven by colored noise\",\"authors\":\"Davide A. Bignamini, Simone Ferrari\",\"doi\":\"10.1080/07362994.2024.2303099\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider stochastic reaction-diffusion equations with colored noise on the space of real-valued and continuous functions on a compact subset of ℝd for d=1,2,3. We prove Schauder-type estimates, ...\",\"PeriodicalId\":49474,\"journal\":{\"name\":\"Stochastic Analysis and Applications\",\"volume\":\"250 1\",\"pages\":\"\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-01-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Stochastic Analysis and Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/07362994.2024.2303099\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Stochastic Analysis and Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/07362994.2024.2303099","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Schauder estimates for stationary and evolution equations associated to stochastic reaction-diffusion equations driven by colored noise
We consider stochastic reaction-diffusion equations with colored noise on the space of real-valued and continuous functions on a compact subset of ℝd for d=1,2,3. We prove Schauder-type estimates, ...
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