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arXiv · 1109.3807

Regularity results for fully nonlinear parabolic integro-differential operators

Yong-Cheol Kim·Ki-Ahm Lee
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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 0<σ<2. And we show a Harnack inequality, Hölder regularity, and C^{1,α}-regularity of the solutions by obtaining decay estimates of their level sets.

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Yong-Cheol Kim, Ki-Ahm Lee. 2011-10-13. Regularity results for fully nonlinear parabolic integro-differential operators. https://arxiv.org/abs/1109.3807

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