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

Published 28 Apr 2013 in math.AP | (1304.7525v1)

Abstract: We prove a $C{1,\alpha}$ 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.

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