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
收藏
页码：4785 / 4809
页数：25
相关论文
共 50 条
  • [1] Regularity theory for fully nonlinear parabolic obstacle problems 
    Audrito, Alessandro
    Kukuljan, Teo
    JOURNAL OF FUNCTIONAL ANALYSIS, 2023, 285 (10)
  • [2] Regularity results for nonlinear parabolic obstacle problems with subquadratic growth
    Erhardt, Andre H.
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 261 (12) : 6915 - 6949
  • [3] POINTWISE REGULARITY OF SOLUTIONS TO NONLINEAR DOUBLE OBSTACLE PROBLEMS
    KILPELAINEN, T
    ZIEMER, WP
    ARKIV FOR MATEMATIK, 1991, 29 (01): : 83 - 106
  • [4] EXISTENCE OF SOLUTIONS TO NONLINEAR PARABOLIC UNILATERAL PROBLEMS WITH AN OBSTACLE DEPENDING ON TIME
    Bellal, Nabila
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
  • [5] The regularity theory for the parabolic double obstacle problem
    Ki-Ahm Lee
    Jinwan Park
    Mathematische Annalen, 2021, 381 : 685 - 728
  • [6] The regularity theory for the parabolic double obstacle problem
    Lee, Ki-Ahm
    Park, Jinwan
    MATHEMATISCHE ANNALEN, 2020, 381 (1-2) : 685 - 728
  • [7] Holder regularity for degenerate parabolic obstacle problems
    Boegelein, Verena
    Lukkari, Teemu
    Scheven, Christoph
    ARKIV FOR MATEMATIK, 2017, 55 (01): : 1 - 39
  • [8] Optimal regularity for supercritical parabolic obstacle problems
    Ros-Oton, Xavier
    Torres-Latorre, Clara
    COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2024, 77 (03) : 1724 - 1765
  • [9] Existence and regularity results for some nonlinear singular parabolic problems with absorption terms
    El Ouardy, Mounim
    El Hadfi, Youssef
    Sbai, Abdelaaziz
    MONATSHEFTE FUR MATHEMATIK, 2024, 203 (03): : 583 - 612
  • [10] Existence and regularity results for some nonlinear singular parabolic problems with absorption terms
    Mounim El Ouardy
    Youssef El Hadfi
    Abdelaaziz Sbai
    Monatshefte für Mathematik, 2024, 203 : 583 - 612
12345