Nguyễn Xuân Tú, Diep Ha Thi Huyen, Nguyen Khong Chi
{"title":"PULLBACK ATTRACTORS FOR A NON-AUTONOMOUS SEMILINEAR STRONGLY DEGENERATE PARABOLIC EQUATION","authors":"Nguyễn Xuân Tú, Diep Ha Thi Huyen, Nguyen Khong Chi","doi":"10.51453/2354-1431/2022/840","DOIUrl":null,"url":null,"abstract":"In this paper, using the asymptotic a priori estimate method, we prove the existence of pullback attractors for a non-autonomous semilinear strongly degenerate parabolic equation in an arbitrary domain, without restriction on the growth order of the polynomial type non-linearity and with a suitable exponential growth of the external force. The obtained results improve some recent ones for the non-autonomous reaction–diffusion equations. \n ","PeriodicalId":158754,"journal":{"name":"SCIENTIFIC JOURNAL OF TAN TRAO UNIVERSITY","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"SCIENTIFIC JOURNAL OF TAN TRAO UNIVERSITY","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.51453/2354-1431/2022/840","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
In this paper, using the asymptotic a priori estimate method, we prove the existence of pullback attractors for a non-autonomous semilinear strongly degenerate parabolic equation in an arbitrary domain, without restriction on the growth order of the polynomial type non-linearity and with a suitable exponential growth of the external force. The obtained results improve some recent ones for the non-autonomous reaction–diffusion equations.
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