Gradient Holder regularity for degenerate parabolic systems

被引：10

作者：

Boegelein, Verena ^{[1
]}

Duzaar, Frank ^{[2
]}

Liao, Naian ^{[1
]}

Scheven, Christoph ^{[3
]}

机构：

[1] Univ Salzburg, Fachbereich Math, Hellbrunner Str 34, A-5020 Salzburg, Austria

[2] Univ Erlangen Nurnberg, Dept Data Sci, Cauerstrasse 11, D-91058 Erlangen, Germany

[3] Univ Duisburg Essen, Fak Mathemat, D-45117 Essen, Germany

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2022年 / 225卷

关键词：

Degenerate/singular parabolic systems; Holder continuity of the gradient; MINIMIZERS;

D O I：

10.1016/j.na.2022.113119

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the local Holder regularity of the spatial gradient of weak solutions to a class of general, degenerate parabolic systems. Our results can be regarded as a generalization of the fundamental work by DiBenedetto and Friedman (1985). (C) 2022 The Author(s). Published by Elsevier Ltd.

引用

页数：61

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