Interior regularity for nonlocal fully nonlinear equations with Dini continuous terms

Chenchen Mou*

*Corresponding author for this work

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

4 Citations (Scopus)

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 languageEnglish
Pages (from-to)7892-7922
JournalJournal of Differential Equations
Volume260
Issue number11
Online published23 Feb 2016
DOIs
Publication statusPublished - 5 Jun 2016
Externally publishedYes

Research Keywords

  • Dini continuity
  • Hamilton–Jacobi–Bellman equation
  • Integro-PDE
  • Viscosity solution

Fingerprint

Dive into the research topics of 'Interior regularity for nonlocal fully nonlinear equations with Dini continuous terms'. Together they form a unique fingerprint.

Cite this