Regularity results for fully nonlinear parabolic integro-differential operators

Details Regularity results for fully nonlinear parabolic integro-differential operators Regularity results for fully nonlinear parabolic integro-differential operators

2011-09-17

arxiv.org/abs/1109.3807v2

Mathematics

Analysis of PDEs

Scientific paper

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<\sigma<2. And we show a Harnack inequality, H\"older regularity, and C^{1,\alpha}-regularity of the solutions by obtaining decay estimates of their level sets.

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