Global regularity for higher order divergence elliptic and parabolic equations

被引：10
作者：
Wang, Lihe [1 ,2 ]
Yao, Fengping [3 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA
[3] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2014年 / 266卷 / 02期
关键词：
Regularity; Sobolev; Orlicz spaces; Higher order; Divergence; Elliptic; Parabolic; Small BMO; The whole space; ORLICZ SPACES; SYSTEMS; FORM; COEFFICIENTS; OPERATORS;
D O I：
10.1016/j.jfa.2013.10.018
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we obtain the global regularity estimates of the weak solutions in Sobolev spaces and Orlicz spaces for higher order elliptic and parabolic equations of divergence form with small BMO coefficients in the whole space. We only focus on the parabolic case while the corresponding result in the elliptic case can be obtained as a corollary. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：792 / 813
页数：22
相关论文
共 50 条
[41]   Existence of Multiple Solutions of Higher-Order Nonlinear Elliptic Equations [J].
Lubyshev, V. F. .
MATHEMATICAL NOTES, 2011, 89 (1-2) :255-265
[42]   Homogenization of the Neumann problem for higher order elliptic equations with periodic coefficients [J].
Suslina, T. A. .
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2018, 63 (7-8) :1185-1215
[43]   Besov regularity for the elliptic p-harmonic equations in the non-quadratic case [J].
Yao, Fengping .
ADVANCES IN NONLINEAR ANALYSIS, 2024, 13 (01)
[44]   Global Gradient Estimates for Nonlinear Elliptic Equations with Vanishing Neumann Data in a Convex Domain [J].
Yao, Fengping .
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2017, 23 (02) :337-348
[45]   Regularity of solutions to nonlinear parabolic equations with a lower-order term [J].
Feng-Quan L. .
Potential Analysis, 2002, 16 (4) :393-400
[46]   Regularity of solutions to nonlinear parabolic equations with a lower-order term [J].
Li, FQ .
POTENTIAL ANALYSIS, 2002, 16 (04) :393-400
[47]   Regularity and Radial Symmetry of Positive Solutions for a Higher Order Elliptic System [J].
Huai-yu ZHOU ;
Su-fang TANG .
ActaMathematicaeApplicataeSinica, 2017, 33 (02) :551-560
[48]   Regularity and radial symmetry of positive solutions for a higher order elliptic system [J].
Huai-yu Zhou ;
Su-fang Tang .
Acta Mathematicae Applicatae Sinica, English Series, 2017, 33 :551-560
[49]   Regularity and radial symmetry of positive solutions for a higher order elliptic system [J].
Zhou, Huai-yu ;
Tang, Su-fang .
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2017, 33 (02) :551-560
[50]   On Lp-Resolvent Estimates for Second-Order Elliptic Equations in Divergence Form [J].
Kang, Byungsoo ;
Kim, Hyunseok .
POTENTIAL ANALYSIS, 2019, 50 (01) :107-133
12345