Interior regularity for nonlocal fully nonlinear equations with Dini continuous terms

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• 作者：Chenchen Mou ^{cmou3@math.gatech.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：35R09 ; 35D40 ; 35J60 ; 47G20 ; 45K05 ; 93E20
• 刊名：Journal of Differential Equations
• 出版年：2016
• 出版时间：5 June 2016
• 年：2016
• 卷：260
• 期：11
• 页码：7892-7922
• 全文大小：384 K

文摘

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^σ$C^{\sigma }$ regularity estimates for the nonlocal equations by perturbative methods and a version of a recursive Evans–Krylov theorem.