Dini and Schauder estimates for nonlocal fully nonlinear parabolic equations with drifts

Abstract

We obtain Dini and Schauder type estimates for concave fully nonlinear nonlocal parabolic equations of order $σ\in (0,2)$ with rough and non-symmetric kernels, and drift terms. We also study such linear equations with only measurable coefficients in the time variable, and obtain Dini type estimates in the spacial variable. This is a continuation of the work [10, 11] by the first and last authors.

42 pages, some corrections in the proof of Theorem 1.5 were made. References updated. arXiv admin note: text overlap with arXiv:1612.08310