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Regularity results for fully nonlinear parabolic integro-differential operators

Authors
Kim, Yong-CheolLee, Ki-Ahm
Issue Date
12월-2013
Publisher
SPRINGER
Citation
MATHEMATISCHE ANNALEN, v.357, no.4, pp.1541 - 1576
Indexed
SCIE
SCOPUS
Journal Title
MATHEMATISCHE ANNALEN
Volume
357
Number
4
Start Page
1541
End Page
1576
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/101384
DOI
10.1007/s00208-013-0948-8
ISSN
0025-5831
Abstract
In 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.
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Kim, Yong Cheol
사범대학 (수학교육과)
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