Dini and Schauder estimates for nonlocal fully nonlinear parabolic equations with drifts
Analysis of PDEs
2019-02-13 v3
Abstract
We obtain Dini and Schauder type estimates for concave fully nonlinear nonlocal parabolic equations of order 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.
Keywords
Cite
@article{arxiv.1710.01253,
title = {Dini and Schauder estimates for nonlocal fully nonlinear parabolic equations with drifts},
author = {Hongjie Dong and Tianling Jin and Hong Zhang},
journal= {arXiv preprint arXiv:1710.01253},
year = {2019}
}
Comments
42 pages, some corrections in the proof of Theorem 1.5 were made. References updated. arXiv admin note: text overlap with arXiv:1612.08310