Differentiability at lateral boundary for fully nonlinear parabolic equations

被引：6

作者：

Ma, Feiyao ^{[1
]}

Moreira, Diego R. ^{[2
]}

Wang, Lihe ^{[3
,4
,5
]}

机构：

[1] Ningbo Univ, Dept Math, Ningbo, Zhejiang, Peoples R China

[2] Univ Fed Ceara, Dept Math, Fortaleza, Ceara, Brazil

[3] Shanghai Jiao Tong Univ, CAFR, Shanghai 200240, Peoples R China

[4] Shanghai Jiao Tong Univ, Sch Math, Shanghai 200240, Peoples R China

[5] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年 / 263卷 / 05期

关键词：

Fully nonlinear parabolic equations; Viscosity solutions; Reifenberg Dini conditions; Lateral boundary; Differentiability; ELLIPTIC-EQUATIONS; REGULARITY THEORY; CONVEX DOMAINS; BEHAVIOR; FORM;

D O I：

10.1016/j.jde.2017.04.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For fully nonlinear uniformly parabolic equations, the first derivatives regularity of viscosity solutions at lateral boundary is studied under new Dini type conditions for the boundary, which is called Reifenberg Dini conditions and is weaker than usual Dini conditions. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：2672 / 2686

页数：15

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