{"title":"一类带扰动抛物型拟线性问题强解的存在唯一性","authors":"J. Rui, W. Zuo","doi":"10.3724/SP.J.1160.2013.00060","DOIUrl":null,"url":null,"abstract":"In this paper,we prove existence and uniqueness of strong solutions for perturbations of a parabolic quasilinear problem with Dirichlet boundary conditions when the initial data is an L~2(Ω) function.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"60"},"PeriodicalIF":0.0000,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Existence and Uniqueness of Strong Solutions for a Parabolic Quasilinear Problem with Perturbations\",\"authors\":\"J. Rui, W. Zuo\",\"doi\":\"10.3724/SP.J.1160.2013.00060\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper,we prove existence and uniqueness of strong solutions for perturbations of a parabolic quasilinear problem with Dirichlet boundary conditions when the initial data is an L~2(Ω) function.\",\"PeriodicalId\":62008,\"journal\":{\"name\":\"应用泛函分析学报\",\"volume\":\"15 1\",\"pages\":\"60\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"应用泛函分析学报\",\"FirstCategoryId\":\"1089\",\"ListUrlMain\":\"https://doi.org/10.3724/SP.J.1160.2013.00060\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"应用泛函分析学报","FirstCategoryId":"1089","ListUrlMain":"https://doi.org/10.3724/SP.J.1160.2013.00060","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Existence and Uniqueness of Strong Solutions for a Parabolic Quasilinear Problem with Perturbations
In this paper,we prove existence and uniqueness of strong solutions for perturbations of a parabolic quasilinear problem with Dirichlet boundary conditions when the initial data is an L~2(Ω) function.
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