Existence and regularity for nonlinear parabolic double obstacle problems

被引：0

作者：

Byun, Sun-Sig ^{[1
]}

Ryu, Seungjin ^{[2
]}

机构：

[1] Seoul Natl Univ, Res Inst Math, Dept Math Sci, Seoul 08826, South Korea

[2] Univ Seoul, Dept Math, Seoul 02504, South Korea

来源：

NONLINEARITY | 2023年 / 36卷 / 09期

关键词：

Calderon-Zygmund estimate; double obstacle; variational inequality; FREE-BOUNDARY REGULARITY; REIFENBERG-FLAT;

D O I：

10.1088/1361-6544/ace875

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study nonlinear parabolic equations of p-Laplacian type with irregular double obstacles to establish the existence and an optimal global Calderon-Zygmund theory.

引用

页码：4785 / 4809

页数：25

共 21 条

[1] Gradient estimates for a class of parabolic systems [J].

Acerbi, Emilio ;

Mingione, Giuseppe .

DUKE MATHEMATICAL JOURNAL, 2007, 136 (02) :285-320

[2]

[Anonymous], 1997, Notices Amer. Math. Soc.

[3] Degenerate problems with irregular obstacles [J].

Boegelein, Verena ;

Duzaar, Frank ;

Mingione, Giuseppe .

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2011, 650 :107-160

[4] The obstacle problem for parabolic minimizers [J].

Bogelein, Verena ;

Duzaar, Frank ;

Scheven, Christoph .

JOURNAL OF EVOLUTION EQUATIONS, 2017, 17 (04) :1273-1310

[5] Gradient estimates for nonlinear elliptic double obstacle problems [J].

Byun, Sun-Sig ;

Ryu, Seungjin .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 194

[6] Parabolic Obstacle Problem with Measurable Data in Generalized Morrey Spaces [J].

Byun, Sun-Sig ;

Softova, Lubomira .

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2016, 35 (02) :153-171

[7] GLOBAL WEIGHTED ESTIMATES FOR NONLINEAR ELLIPTIC OBSTACLE PROBLEMS OVER REIFENBERG DOMAINS [J].

Byun, Sun-Sig ;

Cho, Yumi ;

Palagachev, Dian K. .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 143 (06) :2527-2541

[8] Nonlinear gradient estimates for parabolic obstacle problems in non-smooth domains [J].

Byun, Sun-Sig ;

Cho, Yumi .

MANUSCRIPTA MATHEMATICA, 2015, 146 (3-4) :539-558

[9] Global gradient estimates for general nonlinear parabolic equations in nonsmooth domains [J].

Byun, Sun-Sig ;

Ok, Jihoon ;

Ryu, Seungjin .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 254 (11) :4290-4326

[10] Calderon-Zygmund theory for nonlinear elliptic problems with irregular obstacles [J].

Byun, Sun-Sig ;

Cho, Yumi ;

Wang, Lihe .

JOURNAL OF FUNCTIONAL ANALYSIS, 2012, 263 (10) :3117-3143

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