Abstract
This paper is concerned with interior regularity of viscosity solutions of non-translation invariant nonlocal fully nonlinear equations with Dini continuous terms. We obtain Cσ regularity estimates for the nonlocal equations by perturbative methods and a version of a recursive Evans–Krylov theorem.
Original language | English |
---|---|
Pages (from-to) | 7892-7922 |
Journal | Journal of Differential Equations |
Volume | 260 |
Issue number | 11 |
Online published | 23 Feb 2016 |
DOIs | |
Publication status | Published - 5 Jun 2016 |
Externally published | Yes |
Research Keywords
- Dini continuity
- Hamilton–Jacobi–Bellman equation
- Integro-PDE
- Viscosity solution