Sharp estimates for iterated Green functions

被引：20

作者：

Grunau, HC

Sweers, G

机构：

[1] Univ Magdeburg, Fak Math, Inst Anal & Numer, D-39016 Magdeburg, Germany

[2] Delft Univ Technol, ITS, NL-2600 GA Delft, Netherlands

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2002年 / 132卷

关键词：

D O I：

10.1017/S0308210500001542

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Optimal pointwise estimates from above and below are obtained for iterated (poly) harmonic Green functions corresponding to zero Dirichlet boundary conditions. For second-order elliptic operators, these estimates hold true on bounded C-1,C-1 domains. For higher-order elliptic operators we have to restrict ourselves to the polyharmonic operator on balls. We will also consider applications to non-cooperatively coupled elliptic systems and to the lifetime of conditioned Brownian motion.

引用

页码：91 / 120

页数：30

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