2000 character limit reached
Regularity results for fully nonlinear parabolic integro-differential operators (1109.3807v2)
Published 17 Sep 2011 in math.AP
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<\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.
Collections
Sign up for free to add this paper to one or more collections.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.