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arxiv: 1505.07889 · v2 · pith:BXB2WL5Rnew · submitted 2015-05-28 · 🧮 math.AP

Further Time Regularity for Non-Local, Fully Non-Linear Parabolic Equations

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keywords equationsparabolicnon-localtimeableassumptionsboundaryconsequence
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We establish H\"older estimates for the time derivative of solutions of non-local parabolic equations under mild assumptions for the boundary data. As a consequence we are able to extend the Evans-Krylov estimate for rough kernels to parabolic equations.

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