Regularity for Fully Nonlinear Integro-differential Operators with Regularly Varying Kernels
DC Field | Value | Language |
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dc.contributor.author | Kim, Soojung | - |
dc.contributor.author | Kim, Yong-Cheol | - |
dc.contributor.author | Lee, Ki-Ahm | - |
dc.date.accessioned | 2021-09-04T00:13:13Z | - |
dc.date.available | 2021-09-04T00:13:13Z | - |
dc.date.created | 2021-06-18 | - |
dc.date.issued | 2016-05 | - |
dc.identifier.issn | 0926-2601 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/88802 | - |
dc.description.abstract | In this paper, the regularity results for the integro-differential operators of the fractional Laplacian type by Caffarelli and Silvestre (Comm. Pure Appl. Math. 62, 597-638, 2009) are extended to those for the integro-differential operators associated with symmetric, regularly varying kernels at zero. In particular, we obtain the uniform Harnack inequality and Holder estimate of viscosity solutions to the nonlinear integro-differential equations associated with the kernels K-sigma,K-beta satisfying K-sigma,K-beta (y) asymptotic to 2 - sigma/|y|(n+sigma) (log 2/|y|(2))(beta(2-sigma)) with respect to sigma is an element of(0, 2) close to 2 (for a given beta is an element of R), where the regularity estimates do not blow up as the order sigma is an element of (0, 2) tends to 2. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER | - |
dc.title | Regularity for Fully Nonlinear Integro-differential Operators with Regularly Varying Kernels | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Yong-Cheol | - |
dc.identifier.doi | 10.1007/s11118-015-9525-y | - |
dc.identifier.scopusid | 2-s2.0-84954461636 | - |
dc.identifier.wosid | 000374964500004 | - |
dc.identifier.bibliographicCitation | POTENTIAL ANALYSIS, v.44, no.4, pp.673 - 705 | - |
dc.relation.isPartOf | POTENTIAL ANALYSIS | - |
dc.citation.title | POTENTIAL ANALYSIS | - |
dc.citation.volume | 44 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 673 | - |
dc.citation.endPage | 705 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordAuthor | Uniform regularity estimates | - |
dc.subject.keywordAuthor | Integro-differential operator | - |
dc.subject.keywordAuthor | Regularly varying kernel | - |
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