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Regularity Results for Fully Nonlinear Integro-Differential Operators with Nonsymmetric Positive Kernels: Subcritical Case

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dc.contributor.authorKim, Yong-Cheol-
dc.contributor.authorLee, Ki-Ahm-
dc.date.accessioned2021-09-06T04:50:37Z-
dc.date.available2021-09-06T04:50:37Z-
dc.date.created2021-06-14-
dc.date.issued2013-02-
dc.identifier.issn0926-2601-
dc.identifier.urihttps://scholar.korea.ac.kr/handle/2021.sw.korea/104107-
dc.description.abstractWe introduce a class of fully nonlinear integro-differential operators with possible nonsymmetric kernels. For the index sigma of the operator in (1, 2) (subcritical case), we introduce a very general class of fully nonlinear integro-differential operators and obtain a comparison principle, a nonlocal version of the Alexandroff-Backelman-Pucci estimate, a Harnack inequality, a Holder regularity, and an interior C-1,C-alpha-regularity for equations associated with such a class.-
dc.languageEnglish-
dc.language.isoen-
dc.publisherSPRINGER-
dc.subjectHAMILTON-JACOBI EQUATIONS-
dc.subjectVISCOSITY SOLUTIONS-
dc.subjectHARNACK INEQUALITIES-
dc.subjectMAXIMUM PRINCIPLE-
dc.subjectHOLDER CONTINUITY-
dc.subjectUNIQUENESS-
dc.subjectTERMS-
dc.titleRegularity Results for Fully Nonlinear Integro-Differential Operators with Nonsymmetric Positive Kernels: Subcritical Case-
dc.typeArticle-
dc.contributor.affiliatedAuthorKim, Yong-Cheol-
dc.identifier.doi10.1007/s11118-012-9280-2-
dc.identifier.scopusid2-s2.0-84873103270-
dc.identifier.wosid000314186200004-
dc.identifier.bibliographicCitationPOTENTIAL ANALYSIS, v.38, no.2, pp.433 - 455-
dc.relation.isPartOfPOTENTIAL ANALYSIS-
dc.citation.titlePOTENTIAL ANALYSIS-
dc.citation.volume38-
dc.citation.number2-
dc.citation.startPage433-
dc.citation.endPage455-
dc.type.rimsART-
dc.type.docTypeArticle-
dc.description.journalClass1-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalWebOfScienceCategoryMathematics-
dc.subject.keywordPlusHAMILTON-JACOBI EQUATIONS-
dc.subject.keywordPlusVISCOSITY SOLUTIONS-
dc.subject.keywordPlusHARNACK INEQUALITIES-
dc.subject.keywordPlusMAXIMUM PRINCIPLE-
dc.subject.keywordPlusHOLDER CONTINUITY-
dc.subject.keywordPlusUNIQUENESS-
dc.subject.keywordPlusTERMS-
dc.subject.keywordAuthorIntegro-differential operators-
dc.subject.keywordAuthorA-B-P estimate-
dc.subject.keywordAuthorHarnack estimate-
dc.subject.keywordAuthorNonlocal equations-
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