Regularity results for fully nonlinear parabolic integro-differential operators
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, H\"older regularity, and C1,α-regularity of the solutions by obtaining decay estimates of their level sets.
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