{"title":"Nonlinear Parabolic Equations with Singular Coefficient with Respect to the Unknown and with Diffuse Measure Data","authors":"Khaled Zaki and Hicham Redwane sci","doi":"10.4208/jpde.v32.n4.3","DOIUrl":null,"url":null,"abstract":"An existence and uniqueness result of a renormalized solution for a class of doubly nonlinear parabolic equations with singular coefficient with respect to the unknown and with diffuse measure data is established. A comparison result is also proved for such solutions. AMS Subject Classifications: 47A15, 46A32, 47D20 Chinese Library Classifications: O175.29","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":"29 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Partial Differential Equations","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4208/jpde.v32.n4.3","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
An existence and uniqueness result of a renormalized solution for a class of doubly nonlinear parabolic equations with singular coefficient with respect to the unknown and with diffuse measure data is established. A comparison result is also proved for such solutions. AMS Subject Classifications: 47A15, 46A32, 47D20 Chinese Library Classifications: O175.29
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