Interior regularity for nonlocal fully nonlinear equations with Dini continuous terms

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:260

Article

Mou, Chenchen¹ 

[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

关键词: Viscosity solution;    Integro-PDE;    Hamilton-Jacobi-Bellman equation;    Dini continuity;   

DOI  :  10.1016/j.jde.2016.02.006

来源: Elsevier

【 摘 要 】

This paper is concerned with interior regularity of viscosity solutions of non-translation invariant nonlocal fully nonlinear equations with Dini continuous terms. We obtain C-sigma regularity estimates for the nonlocal equations by perturbative methods and a version of a recursive Evans-Krylov theorem. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free