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A W-p(n)-theory of parabolic equations with unbounded leading coefficients on non-smooth domains

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dc.contributor.authorKim, Kyeong-Hun-
dc.date.accessioned2021-09-08T20:01:45Z-
dc.date.available2021-09-08T20:01:45Z-
dc.date.created2021-06-19-
dc.date.issued2009-02-01-
dc.identifier.issn0022-247X-
dc.identifier.urihttps://scholar.korea.ac.kr/handle/2021.sw.korea/120602-
dc.description.abstractWe study parabolic partial differential equations with unbounded second-, first- and zero-order coefficients on non-smooth domains allowing Hardy inequality. Existence and uniqueness results are given in weighted Sobolev spaces. and Holder estimates of the solutions are also obtained. The number of derivatives of the solutions can be any nonnegative real number, in particular, it can be fractional. (C) 2008 Elsevier Inc. All rights reserved.-
dc.languageEnglish-
dc.language.isoen-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.subjectSOBOLEV SPACE THEORY-
dc.subjectBOUNDARY-
dc.titleA W-p(n)-theory of parabolic equations with unbounded leading coefficients on non-smooth domains-
dc.typeArticle-
dc.contributor.affiliatedAuthorKim, Kyeong-Hun-
dc.identifier.doi10.1016/j.jmaa.2008.09.058-
dc.identifier.scopusid2-s2.0-54149117987-
dc.identifier.wosid000261895800029-
dc.identifier.bibliographicCitationJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.350, no.1, pp.294 - 305-
dc.relation.isPartOfJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS-
dc.citation.titleJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS-
dc.citation.volume350-
dc.citation.number1-
dc.citation.startPage294-
dc.citation.endPage305-
dc.type.rimsART-
dc.type.docTypeArticle-
dc.description.journalClass1-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalWebOfScienceCategoryMathematics, Applied-
dc.relation.journalWebOfScienceCategoryMathematics-
dc.subject.keywordPlusSOBOLEV SPACE THEORY-
dc.subject.keywordPlusBOUNDARY-
dc.subject.keywordAuthorUnbounded leading coefficients-
dc.subject.keywordAuthorNon-smooth domains-
dc.subject.keywordAuthorHardy inequality-
dc.subject.keywordAuthorWeighted Sobolev spaces-
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