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arxiv: 0902.4030 · v2 · submitted 2009-02-23 · 🧮 math.AP

Regularity results for nonlocal equations by approximation

classification 🧮 math.AP
keywords caseequationsnonlocalregularityresultsapproximationcoefficientcordes-niremberg
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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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