dc.citation.endPage |
1771 |
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dc.citation.number |
5 |
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dc.citation.startPage |
1741 |
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dc.citation.title |
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS |
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dc.citation.volume |
33 |
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dc.contributor.author |
Choi, Kyudong |
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dc.date.accessioned |
2023-12-22T04:06:34Z |
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dc.date.available |
2023-12-22T04:06:34Z |
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dc.date.created |
2015-07-28 |
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dc.date.issued |
2013-05 |
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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. |
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dc.identifier.bibliographicCitation |
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v.33, no.5, pp.1741 - 1771 |
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dc.identifier.doi |
10.3934/dcds.2013.33.1741 |
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dc.identifier.issn |
1078-0947 |
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dc.identifier.scopusid |
2-s2.0-84872135636 |
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dc.identifier.uri |
https://scholarworks.unist.ac.kr/handle/201301/13063 |
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dc.identifier.url |
https://www.aimsciences.org/journals/displayArticles.jsp?paperID=8007 |
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dc.identifier.wosid |
000313565800001 |
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dc.language |
영어 |
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dc.publisher |
AMER INST MATHEMATICAL SCIENCES |
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dc.title |
Persistence of Holder continuity for non-local integro-differential equations |
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dc.type |
Article |
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dc.description.journalRegisteredClass |
scie |
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dc.description.journalRegisteredClass |
scopus |
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