On Schauder estimates for a class of nonlocal fully nonlinear parabolic equations

Hongjie Dong; Hong Zhang

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arXiv · 1604.00101

On Schauder estimates for a class of nonlocal fully nonlinear parabolic equations

Hongjie Dong·Hong Zhang

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Abstract

We obtain Schauder estimates for a class of concave fully nonlinear nonlocal parabolic equations of order $\sigma\in (0,2)$ with rough and non-symmetric kernels. As a application, we prove that the solution to a translation invariant equation with merely bounded data is $C^\sigma$ in $x$ variable and $\Lambda^1$ in $t$ variable, where $\Lambda^1$ is the Zygmund space.

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Hongjie Dong, Hong Zhang. 2016-04-01. On Schauder estimates for a class of nonlocal fully nonlinear parabolic equations. https://arxiv.org/abs/1604.00101

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