Holder estimates for parabolic obstacle problems

被引：6

作者：

Erhardt, Andre H. ^{[1
]}

机构：

[1] Univ Erlangen Nurnberg, Dept Math, Cauerstr 11, D-91058 Erlangen, Germany

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2015年 / 194卷 / 03期

关键词：

Holder continuity; Nonlinear parabolic obstacle problems; Variational inequality; Superquadratic growth; Localizable solutions; PARTIAL REGULARITY; CONTINUITY; EQUATIONS; SYSTEMS;

D O I：

10.1007/s10231-013-0392-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish the local Holder continuity of the spatial gradient of the solution to the parabolic obstacle problem with superquadratic growth. More precisely, we prove that Du. C 0; a, a2 loc for some a. ( 0, 1), provided the coefficients and the obstacle are regular enough.

引用

页码：645 / 671

页数：27

共 45 条

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