{"title":"Coefficient inverse problem for the degenerate parabolic equation","authors":"N. Huzyk","doi":"10.7153/DEA-2021-13-14","DOIUrl":null,"url":null,"abstract":". The inverse problem for the degenerate parabolic equation is considered. The minor coef fi cient of the equation is a polynomial of the fi rst power with respect to the space variable with unknown time-dependent coef fi cients. The conditions of local in time existence and global uniqueness of the classical solution to this problem are established. The case of weak power degeneration is investigated.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"1 1","pages":"243-255"},"PeriodicalIF":0.0000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/DEA-2021-13-14","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
. The inverse problem for the degenerate parabolic equation is considered. The minor coef fi cient of the equation is a polynomial of the fi rst power with respect to the space variable with unknown time-dependent coef fi cients. The conditions of local in time existence and global uniqueness of the classical solution to this problem are established. The case of weak power degeneration is investigated.
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