Regularity results for nonlocal equations by approximation

Details Regularity results for nonlocal equations by approximation Regularity results for nonlocal equations by approximation

2009-02-23

arxiv.org/abs/0902.4030v2

Mathematics

Analysis of PDEs

Scientific paper

In this paper we prove a nonlocal version of the Cordes-Niremberg estimates.
We use it to extend our previous regularity results for fully nonlinear
integro-differential equations to the variable coefficient case and several
other settings where the equation can be thought of as a perturbation of the
translation invariant case.

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