Optimal W1,p regularity theory for parabolic equations in divergence form

被引：0
|
作者：
Sun-Sig Byun
机构：
[1] Seoul National University,Department of Mathematical Sciences
来源：
Journal of Evolution Equations | 2007年 / 7卷
关键词：
Primary 35R05, 35R35; Secondary 35J15, 35J25; Parabolic equations; BMO Space; Parabolic maximal function; Regularity theory;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This work treats Lp regularity theory for weak solutions of parabolic equations in divergence form with discontinuous coefficients on nonsmooth domains. We essentially obtain an optimal condition on the coefficients under which the global W1,p regularity theory holds.
引用
收藏
页码：415 / 428
页数：13
相关论文
共 50 条
  • [41] GRADIENT REGULARITY FOR A SINGULAR PARABOLIC EQUATION IN NON-DIVERGENCE FORM
    Attouchi, Amal
    Ruosteenoja, Eero
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 40 (10) : 5955 - 5972
  • [42] Optimal regularity for a class of singular abstract parabolic equations
    Guidotti, Patrick
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 232 (02) : 468 - 486
  • [43] Optimal regularity estimates for general nonlinear parabolic equations
    Sun-Sig Byun
    Dian K. Palagachev
    Pilsoo Shin
    manuscripta mathematica, 2020, 162 : 67 - 98
  • [44] Optimal regularity estimates for general nonlinear parabolic equations
    Byun, Sun-Sig
    Palagachev, Dian K.
    Shin, Pilsoo
    MANUSCRIPTA MATHEMATICA, 2020, 162 (1-2) : 67 - 98
  • [45] Local W1.p -REGULARITY ESTIMITATION FOR WEAK SOLUTION OF PARABOLIC EQUATION WITH SINGULAR DIVERGENCE-FREE DRIFT
    Phan, Tuoc
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
  • [46] Hölder Regularity for Solutions of Ultraparabolic Equations in Divergence Form
    Sergio Polidoro
    Maria Alessandra Ragusa
    Potential Analysis, 2001, 14 : 341 - 350
  • [47] GEOMETRIC REGULARITY FOR ELLIPTIC EQUATIONS IN DOUBLE-DIVERGENCE FORM
    Leitao, Raimundo
    Pimentel, Edgard A.
    Santos, Makson S.
    ANALYSIS & PDE, 2020, 13 (04): : 1129 - 1144
  • [48] Global regularity for divergence form elliptic equations on quasiconvex domains
    Jia, Huilian
    Li, Dongsheng
    Wang, Lihe
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 249 (12) : 3132 - 3147
  • [49] Weighted W1,p estimates for solutions of non-linear parabolic equations over non-smooth domains
    Byun, Sun-Sig
    Palagachev, Dian K.
    Ryu, Seungjin
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2013, 45 : 765 - 778
  • [50] Fully discrete P02 -P1 mixed elements for optimal control with parabolic equations and low regularity
    Tang, Yuelong
    Hua, Yuchun
    Zheng, Yujun
    Wu, Chao
    RESULTS IN APPLIED MATHEMATICS, 2025, 25
12345