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NONDIVERGENCE PARABOLIC EQUATIONS IN WEIGHTED VARIABLE EXPONENT SPACES

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dc.contributor.authorByun, Sun-Sigko
dc.contributor.authorLee, Mikyoungko
dc.contributor.authorOk, Jihoonko
dc.date.accessioned2018-02-21T06:02:07Z-
dc.date.available2018-02-21T06:02:07Z-
dc.date.created2018-02-12-
dc.date.created2018-02-12-
dc.date.issued2018-04-
dc.identifier.citationTRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v.370, no.4, pp.2263 - 2298-
dc.identifier.issn0002-9947-
dc.identifier.urihttp://hdl.handle.net/10203/240192-
dc.description.abstractWe prove the global Calderon-Zygmund estimates for second order parabolic equations in nondivergence form in weighted variable exponent Lebesgue spaces. We assume that the associated variable exponent is log-Holder continuous, the weight is of a certain Muckenhoupt class with respect to the variable exponent, the coefficients of the equation are the functions of small bonded mean oscillation, and the underlying domain is a C-1,C-1-domain.-
dc.languageEnglish-
dc.publisherAMER MATHEMATICAL SOC-
dc.subjectELLIPTIC-EQUATIONS-
dc.subjectLEBESGUE SPACES-
dc.subjectOPERATORS-
dc.subjectCOEFFICIENTS-
dc.subjectREGULARITY-
dc.subjectL-P(CENTER-DOT)-
dc.subjectFUNCTIONALS-
dc.subjectSYSTEMS-
dc.subjectGROWTH-
dc.subjectFORM-
dc.titleNONDIVERGENCE PARABOLIC EQUATIONS IN WEIGHTED VARIABLE EXPONENT SPACES-
dc.typeArticle-
dc.identifier.wosid000423197800001-
dc.identifier.scopusid2-s2.0-85040828692-
dc.type.rimsART-
dc.citation.volume370-
dc.citation.issue4-
dc.citation.beginningpage2263-
dc.citation.endingpage2298-
dc.citation.publicationnameTRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY-
dc.identifier.doi10.1090/tran/7352-
dc.contributor.nonIdAuthorByun, Sun-Sig-
dc.contributor.nonIdAuthorOk, Jihoon-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorParabolic equation-
dc.subject.keywordAuthorCalderon-Zygmund estimate-
dc.subject.keywordAuthorvariable exponent-
dc.subject.keywordAuthorparabolic Muckenhoupt weight-
dc.subject.keywordAuthorBMO space-
dc.subject.keywordPlusELLIPTIC-EQUATIONS-
dc.subject.keywordPlusLEBESGUE SPACES-
dc.subject.keywordPlusOPERATORS-
dc.subject.keywordPlusCOEFFICIENTS-
dc.subject.keywordPlusREGULARITY-
dc.subject.keywordPlusL-P(CENTER-DOT)-
dc.subject.keywordPlusFUNCTIONALS-
dc.subject.keywordPlusSYSTEMS-
dc.subject.keywordPlusGROWTH-
dc.subject.keywordPlusFORM-
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