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Choi, Kyudong
Fluids Analysis Lab
Research Interests
  • fluid equations, mathematical biology, conservation laws,


Persistence of Holder continuity for non-local integro-differential equations

DC Field Value Language Choi, Kyudong ko 2015-07-30T00:49:00Z - 2015-07-28 ko 2013-05 ko
dc.identifier.citation DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v.33, no.5, pp.1741 - 1771 ko
dc.identifier.issn 1078-0947 ko
dc.identifier.uri -
dc.description.abstract In this paper, we consider non-local integro-differential equations under certain natural assumptions on the kernel, and obtain persistence of Holder continuity for their solutions. In other words, we prove that a solution stays in C-beta for all time if its initial data lies in C-beta. This result has an application for a fully non-linear problem, which is used in the field of image processing. In addition, we show Holder regularity for solutions of drift diffusion equations with supercritical fractional diffusion under the assumption b is an element of (LC1-alpha)-C-infinity on the divergent-free drift velocity. The proof is in the spirit of [23] where Kiselev and Nazarov established Holder continuity of the critical surface quasi-geostrophic (SQG) equation. ko
dc.description.statementofresponsibility close -
dc.language 영어 ko
dc.title Persistence of Holder continuity for non-local integro-differential equations ko
dc.type ARTICLE ko
dc.identifier.scopusid 2-s2.0-84872135636 ko
dc.identifier.wosid 000313565800001 ko
dc.type.rims ART ko
dc.description.wostc 0 *
dc.description.scopustc 0 * 2015-12-28 * 2015-11-04 *
dc.identifier.doi 10.3934/dcds.2013.33.1741 ko
dc.identifier.url ko
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