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Regularity results for fully nonlinear parabolic integro-differential operators
- Authors
- Kim, Yong-Cheol; Lee, 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
- 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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