English

Regularity theory for Second order Integro-PDEs

Analysis of PDEs 2018-09-18 v1

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 C1,αC^{1,\alpha} regularity estimates for fully nonlinear integro-PDEs. We then prove the Schauder estimates for solutions if the equation is convex.

Keywords

Cite

@article{arxiv.1809.05589,
  title  = {Regularity theory for Second order Integro-PDEs},
  author = {Chenchen Mou and Yuming Zhang},
  journal= {arXiv preprint arXiv:1809.05589},
  year   = {2018}
}
R2 v1 2026-06-23T04:07:04.135Z