Regularity theory for Second order Integro-PDEs

Chenchen Mou; Yuming Zhang

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arXiv · 1809.05589

Regularity theory for Second order Integro-PDEs

Chenchen Mou·Yuming Zhang

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Abstract

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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Chenchen Mou, Yuming Zhang. 2018-09-14. Regularity theory for Second order Integro-PDEs. https://arxiv.org/abs/1809.05589

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