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$C^{1,α}$ Interior Regularity for Nonlinear Nonlocal Elliptic Equations With Rough Kernels

We prove a $C^{1,α}$ interior regularity theorem for fully nonlinear uniformly elliptic integro-differential equations without assuming any regularity of the kernel. We then give some applications to linear theory and higher regularity of a special class of nonlinear operators.

preprint2013arXivOpen access
Dennis Kriventsov
math.AP
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Dennis Kriventsov

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