Interior regularity for nonlocal fully nonlinear equations with Dini continuous terms

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....

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Bibliographic Details
Published inJournal of Differential Equations Vol. 260; no. 11; pp. 7892 - 7922
Main Author Mou, Chenchen
Format Journal Article
LanguageEnglish
Published Elsevier Inc 05.06.2016
Subjects
Dini continuity
Hamilton–Jacobi–Bellman equation
Integro-PDE
Viscosity solution
35R09
Hamilton–Jacobi–Bellman equation
93E20
47G20
35J60
Viscosity solution
Integro-PDE
Dini continuity
35D40
45K05
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Summary: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.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2016.02.006