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

页码：415 / 428

页数：13

共 50 条

[31] REGULARITY OF OPTIMAL BOUNDARY CONTROLS FOR PARABOLIC EQUATIONS .1. ANALYTICITY
SEIDMAN, TI
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1982, 20 (03) : 428 - 453
[32] Holder regularity for solutions of ultraparabolic equations in divergence form
Polidoro, S
Ragusa, MA
POTENTIAL ANALYSIS, 2001, 14 (04) : 341 - 350
[33] ON THE REGULARITY THEORY OF FULLY NONLINEAR PARABOLIC EQUATIONS
WANG, LH
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 22 (01) : 107 - 114
[34] Regularity of minimizers of W1,p-quasiconvex variational integrals with (p,q)-growth
Schmidt, Thomas
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2008, 32 (01) : 1 - 24
[35] Regularity of minimizers of W1,p-quasiconvex variational integrals with (p,q)-growth
Thomas Schmidt
Calculus of Variations and Partial Differential Equations, 2008, 32 : 1 - 24
[36] Remarks on regularity for p-Laplacian type equations in non-divergence form
Attouchi, Amal
Ruosteenoja, Eero
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 265 (05) : 1922 - 1961
[37] Regularity Theory for Mixed Local and Nonlocal Parabolic p-Laplace Equations
Fang, Yuzhou
Shang, Bin
Zhang, Chao
JOURNAL OF GEOMETRIC ANALYSIS, 2022, 32 (01)
[38] Regularity Theory for Mixed Local and Nonlocal Parabolic p-Laplace Equations
Yuzhou Fang
Bin Shang
Chao Zhang
The Journal of Geometric Analysis, 2022, 32
[39] A Class of Nonlinear Degenerate Parabolic Equations Not in Divergence Form
Cao Chun-ling
Communications in Mathematical Research, 2009, 25 (04) : 361 - 378
[40] NONLOCAL PROBLEMS FOR QUASILINEAR PARABOLIC EQUATIONS IN DIVERGENCE FORM
Lieberman, Gary M.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2003, : 563 - 570

← 1 2 3 4 5 →