Gradient estimates for parabolic problems with Orlicz growth and discontinuous coefficients

被引：2

作者：

Oh, Jehan ^{[1
]}

Ok, Jihoon ^{[2
]}

机构：

[1] Kyungpook Natl Univ, Dept Math, Daegu, South Korea

[2] Sogang Univ, Dept Math, 35 Baekbeom Ro, Seoul 04107, South Korea

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年 / 45卷 / 14期

基金：

新加坡国家研究基金会;

关键词：

degenerate parabolic equations; general growth; discontinuous coefficients; Calderon-Zygmund estimates; Orlicz spaces; ELLIPTIC PROBLEMS; SYSTEMS; REGULARITY; EQUATIONS;

D O I：

10.1002/mma.7845

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain Calderon-Zygmund-type estimates for parabolic equations with Orlicz growth, where nonlinearities involved in the equations may be discontinuous for the space and time variables. In addition, we consider parabolic systems with the Uhlenbeck structure.

引用

页码：8718 / 8736

页数：19

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