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arxiv: 1809.05589 · v1 · pith:LPNHTUUMnew · submitted 2018-09-14 · 🧮 math.AP

Regularity theory for Second order Integro-PDEs

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keywords integro-pdesregularityestimatesordersecondsolutionsalphacite
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This paper is concerned with higher H\"older regularity for viscosity solutions to non-translation invariant second order integro-PDEs, compared to \cite{mou2018}. We first obtain $C^{1,\alpha}$ regularity estimates for fully nonlinear integro-PDEs. We then prove the Schauder estimates for solutions if the equation is convex.

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