FUNDAMENTAL SOLUTIONS FOR SECOND-ORDER PARABOLIC SYSTEMS WITH DRIFT TERMS

被引：7

作者：

Dong, Hongjie ^{[1
]}

Kim, Seick ^{[2
]}

机构：

[1] Brown Univ, Div Appl Math, 182 George St, Providence, RI 02912 USA

[2] Yonsei Univ, Dept Math, 50 Yonsei Ro, Seoul 03722, South Korea

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 146卷 / 07期

基金：

美国国家科学基金会; 新加坡国家研究基金会;

关键词：

Fundamental solution; second order parabolic system; Gaussian estimate; HARNACK INEQUALITY; EQUATIONS; BOUNDS;

D O I：

10.1090/proc/14004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct fundamental solutions of second-order parabolic systems of divergence form with bounded and measurable leading coefficients and divergence free first-order coefficients in the class of BMO chi-1, under the assumption that weak solutions of the system satisfy a certain local boundedness estimate. We also establish Gaussian upper bounds for such fundamental solutions under the same conditions.

引用

页码：3019 / 3029

页数：11

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