INTEGRABILITY RESULTS FOR WEAK SOLUTIONS TO ULTRAPARABOLIC EQUATIONS

被引：0

作者：

Dong, Yan ^{[1
]}

机构：

[1] Hubei Univ Econ, Dept Appl Math, Wuhan 430205, Hubei, Peoples R China

来源：

MATHEMATICAL REPORTS | 2020年 / 22卷 / 02期

基金：

中国国家自然科学基金;

关键词：

ultraparabolic equation; weak solution; L-p estimate; Morrey estimate; Campanato estimate; PARABOLIC EQUATIONS; DIVERGENCE FORM; VECTOR-FIELDS; REGULARITY; INEQUALITIES; OPERATORS; EXISTENCE; SPACES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to consider a class of linear ultraparabolic equations with bounded and VMO coefficients a(ij)(z). We first establish higher L-p estimate and higher Morrey estimates for gradients of weak solutions. And then we give a Campanato estimate for weak solutions.

引用

页码：133 / 161

页数：29

共 50 条

[1] On weak solutions of ultraparabolic equations
Ragusa, MA
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (01) : 503 - 511
[2] THE Cα REGULARITY OF WEAK SOLUTIONS OF ULTRAPARABOLIC EQUATIONS
Wang, Wendong
Zhang, Liqun
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 29 (03) : 1261 - 1275
[3] Gradient Estimates for Solutions of Ultraparabolic Equations
Tarik Mohamed Touaoula
Noureddine Ghouali
Mediterranean Journal of Mathematics, 2008, 5 : 101 - 111
[4] Ca regularity of weak solutions of non-homogeneous ultraparabolic equations with drift terms
Wang, Wendong
Zhang, Liqun
SCIENCE CHINA-MATHEMATICS, 2024, 67 (01) : 23 - 44
[5] Cα regularity of weak solutions of non-homogeneous ultraparabolic equations with drift terms
Wendong Wang
Liqun Zhang
Science China(Mathematics), 2024, 67 (01) : 23 - 44
[6] Global integrability for weak solutions to some anisotropic elliptic equations
Innamorati, Alessandra
Leonetti, Francesco
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 113 : 430 - 434
[7] Gradient estimates for solutions of ultraparabolic equations
Touaoula, Tarik Mohamed
Chouali, Noureddine
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2008, 5 (01) : 101 - 111
[8] Interior regularity for weak solutions of ultraparabolic equations in divergence form with discontinuous coefficients.
Manfredini, M
Polidoro, S
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1998, 1B (03): : 651 - 675
[9] Cα regularity of weak solutions of non-homogeneous ultraparabolic equations with drift terms
Wendong Wang
Liqun Zhang
Science China Mathematics, 2024, 67 : 23 - 44
[10] Global higher integrability for very weak solutions to nonlinear subelliptic equations
Du, Guangwei
Han, Junqiang
BOUNDARY VALUE PROBLEMS, 2017,

← 1 2 3 4 5 →