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.
引用
收藏
页码：231 / 259
页数：29
相关论文
共 48 条
  • [1] Acerbi E, 2005, J REINE ANGEW MATH, V584, P117
  • [2] Gradient estimates for a class of parabolic systems
    Acerbi, Emilio
    Mingione, Giuseppe
    [J]. DUKE MATHEMATICAL JOURNAL, 2007, 136 (02) : 285 - 320
  • [3] Nonlinear Caldern-Zygmund Theory in the Limiting Case
    Avelin, Benny
    Kuusi, Tuomo
    Mingione, Giuseppe
    [J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2018, 227 (02) : 663 - 714
  • [4] ELLIPTIC EQUATIONS WITH DEGENERATE WEIGHTS
    Balci, Anna K. H.
    Diening, Lars
    Giova, Raffaella
    di Napoli, Antonia Passarelli
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2022, 54 (02) : 2373 - 2412
  • [5] Balci AKK, 2022, Arxiv, DOI [arXiv:2201.03524, 10.48550/arXiv.2201.03524]
  • [6] Calderon-Zygmund estimates for parabolic p(x, t)-Laplacian systems
    Baroni, Paolo
    Boegelein, Verena
    [J]. REVISTA MATEMATICA IBEROAMERICANA, 2014, 30 (04) : 1355 - 1386
  • [7] Lorentz estimates for degenerate and singular evolutionary systems
    Baroni, Paolo
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 255 (09) : 2927 - 2951
  • [8] Baroni P, 2012, HOUSTON J MATH, V38, P855
  • [9] Global Caldern-Zygmund theory for nonlinear parabolic systems
    Boegelein, Verena
    [J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2014, 51 (3-4) : 555 - 596
  • [10] Degenerate problems with irregular obstacles
    Boegelein, Verena
    Duzaar, Frank
    Mingione, Giuseppe
    [J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2011, 650 : 107 - 160
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