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Regularity results for fully nonlinear parabolic integro-differential operators

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dc.contributor.authorKim, Yong-Cheol-
dc.contributor.authorLee, Ki-Ahm-
dc.date.accessioned2021-09-05T18:14:40Z-
dc.date.available2021-09-05T18:14:40Z-
dc.date.created2021-06-15-
dc.date.issued2013-12-
dc.identifier.issn0025-5831-
dc.identifier.urihttps://scholar.korea.ac.kr/handle/2021.sw.korea/101384-
dc.description.abstractIn this paper, we consider the regularity theory for fully nonlinear parabolic integro-differential equations with symmetric kernels. We are able to find parabolic versions of Alexandrov-Backelman-Pucci estimate with . And we show a Harnack inequality, Holder regularity, and -regularity of the solutions by obtaining decay estimates of their level sets.-
dc.languageEnglish-
dc.language.isoen-
dc.publisherSPRINGER-
dc.subjectPARTIAL-DIFFERENTIAL-EQUATIONS-
dc.subjectNONSYMMETRIC POSITIVE KERNELS-
dc.subjectVISCOSITY SOLUTIONS-
dc.subjectHARNACK INEQUALITIES-
dc.subjectMAXIMUM PRINCIPLE-
dc.subjectVARIABLE ORDER-
dc.subjectJUMP-PROCESSES-
dc.subjectDIFFUSION-
dc.titleRegularity results for fully nonlinear parabolic integro-differential operators-
dc.typeArticle-
dc.contributor.affiliatedAuthorKim, Yong-Cheol-
dc.identifier.doi10.1007/s00208-013-0948-8-
dc.identifier.scopusid2-s2.0-84887318896-
dc.identifier.wosid000326702800012-
dc.identifier.bibliographicCitationMATHEMATISCHE ANNALEN, v.357, no.4, pp.1541 - 1576-
dc.relation.isPartOfMATHEMATISCHE ANNALEN-
dc.citation.titleMATHEMATISCHE ANNALEN-
dc.citation.volume357-
dc.citation.number4-
dc.citation.startPage1541-
dc.citation.endPage1576-
dc.type.rimsART-
dc.type.docTypeArticle-
dc.description.journalClass1-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalWebOfScienceCategoryMathematics-
dc.subject.keywordPlusPARTIAL-DIFFERENTIAL-EQUATIONS-
dc.subject.keywordPlusNONSYMMETRIC POSITIVE KERNELS-
dc.subject.keywordPlusVISCOSITY SOLUTIONS-
dc.subject.keywordPlusHARNACK INEQUALITIES-
dc.subject.keywordPlusMAXIMUM PRINCIPLE-
dc.subject.keywordPlusVARIABLE ORDER-
dc.subject.keywordPlusJUMP-PROCESSES-
dc.subject.keywordPlusDIFFUSION-
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