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.
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页码：133 / 161
页数：29
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