Schauder estimates for higher-order parabolic systems with time irregular coefficients

被引：10

作者：

Dong, Hongjie ^{[1
]}

Zhang, Hong ^{[1
]}

机构：

[1] Brown Univ, Div Appl Math, Providence, RI 02912 USA

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2015年 / 54卷 / 01期

基金：

美国国家科学基金会;

关键词：

MAXIMUM PRINCIPLE; BMO COEFFICIENTS; EQUATIONS; BOUNDARY;

D O I：

10.1007/s00526-014-0777-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove Schauder estimates for solutions to both divergence and non-divergence type higher-order parabolic systems in the whole space and a half space. We also provide an existence result for the divergence type systems in a cylindrical domain. All coefficients are assumed to be only measurable in the time variable and Holder continuous in the spatial variables.

引用

页码：47 / 74

页数：28

共 19 条

[1] ESTIMATES NEAR BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .2. [J].