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

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