Calderon-Zygmund estimates for nonlinear parabolic equations with matrix weights on nonsmooth domains

被引：2
|
作者：
Byun, Sun -Sig [1 ]
Cho, Yumi [2 ]
机构：
[1] Seoul Natl Univ, Res Inst Math, Dept Math Sci, Seoul 08826, South Korea
[2] Seoul Natl Univ, Res Inst Math, Seoul 08826, South Korea
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年 / 371卷
基金：
新加坡国家研究基金会;
关键词：
Matrix weight; Gradient estimate; Measurable nonlinearity; BMO; Reifenberg domain; HIGHER INTEGRABILITY; ELLIPTIC-EQUATIONS; WEAK SOLUTIONS; REGULARITY; DEGENERATE; SYSTEMS; INEQUALITIES;
D O I：
10.1016/j.jde.2023.06.031
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A wider class of nonlinear parabolic equations with degenerate/singular matrix weights is studied for Calderon-Zygmund type estimates of weak solutions in the setting of weighted Sobolev spaces. Minimal regularity assumptions on the associated nonlinearities as well as weights are investigated for such classical estimates.& COPY; 2023 Elsevier Inc. All rights reserved.
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页码：231 / 259
页数：29
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