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Regularity Theory for Second Order Integro-PDEs |
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| Authors: | Mou Chenchen Zhang Yuming Paul |
| Affiliation: | 1.Department of Mathematics, University of California, Los Angeles, CA, USA ;2.Department of Mathematics, University of California, San Diego, CA, USA ; |
| Abstract: | This paper is concerned with higher Hölder regularity for viscosity solutions to non-translation invariant second order integro-PDEs, compared to Mou (2018). We first obtain C1,α regularity estimates for fully nonlinear integro-PDEs. We then prove the Schauder estimates for solutions if the equation is convex. |
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