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A weighted L-p-theory for parabolic PDEs with BMO coefficients on C-1-domains

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dc.contributor.authorKim, Kyeong-Hun-
dc.contributor.authorLee, Kijung-
dc.date.accessioned2021-09-06T05:15:52Z-
dc.date.available2021-09-06T05:15:52Z-
dc.date.created2021-06-14-
dc.date.issued2013-01-15-
dc.identifier.issn0022-0396-
dc.identifier.urihttps://scholar.korea.ac.kr/handle/2021.sw.korea/104200-
dc.description.abstractIn this paper we present a weighted L-p-theory of second-order parabolic partial differential equations defined on C-1 domains. The leading coefficients are assumed to be measurable in time variable and have VMO (vanishing mean oscillation) or small BMO (bounded mean oscillation) with respect to space variables, and lower order coefficients are allowed to be unbounded and to blow up near the boundary. Our BMO condition is slightly relaxed than the others in the literature. (C) 2012 Elsevier Inc. All rights reserved.-
dc.languageEnglish-
dc.language.isoen-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.subjectSOBOLEV SPACE THEORY-
dc.subjectELLIPTIC-EQUATIONS-
dc.subjectDIFFERENTIAL-EQUATIONS-
dc.subjectDIRICHLET PROBLEM-
dc.subjectVMO-
dc.titleA weighted L-p-theory for parabolic PDEs with BMO coefficients on C-1-domains-
dc.typeArticle-
dc.contributor.affiliatedAuthorKim, Kyeong-Hun-
dc.identifier.doi10.1016/j.jde.2012.08.002-
dc.identifier.scopusid2-s2.0-84868211654-
dc.identifier.wosid000311523400003-
dc.identifier.bibliographicCitationJOURNAL OF DIFFERENTIAL EQUATIONS, v.254, no.2, pp.368 - 407-
dc.relation.isPartOfJOURNAL OF DIFFERENTIAL EQUATIONS-
dc.citation.titleJOURNAL OF DIFFERENTIAL EQUATIONS-
dc.citation.volume254-
dc.citation.number2-
dc.citation.startPage368-
dc.citation.endPage407-
dc.type.rimsART-
dc.type.docTypeArticle-
dc.description.journalClass1-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalWebOfScienceCategoryMathematics-
dc.subject.keywordPlusSOBOLEV SPACE THEORY-
dc.subject.keywordPlusELLIPTIC-EQUATIONS-
dc.subject.keywordPlusDIFFERENTIAL-EQUATIONS-
dc.subject.keywordPlusDIRICHLET PROBLEM-
dc.subject.keywordPlusVMO-
dc.subject.keywordAuthorParabolic equations-
dc.subject.keywordAuthorWeighted Sobolev spaces-
dc.subject.keywordAuthorL-p-theory-
dc.subject.keywordAuthorBMO coefficients-
dc.subject.keywordAuthorVMO coefficients-
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