Vol. 11, No. 6, 2018

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

Hongjie Dong, Tianling Jin and Hong Zhang

Vol. 11 (2018), No. 6, 1487–1534
Abstract

We obtain Dini- and Schauder-type estimates for concave fully nonlinear nonlocal parabolic equations of order $\sigma \in \left(0,2\right)$ with rough and nonsymmetric 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 work by the authors Dong and Zhang.

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