AN INTEGRAL OPERATOR RELATED TO THE STOKES SYSTEM IN EXTERIOR DOMAINS

被引：16

作者：

DEURING, P

机构：

[1] Technische Hochschule Darmstadt, Darmstadt, D-6100

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 1990年 / 13卷 / 04期

关键词：

D O I：

10.1002/mma.1670130405

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider a bounded domain Ω in ℝ3 with C2‐boundary ∂Ω. In [1] the Stokes problem in the exterior domain ℝ3/Ω, with resolvent parameter [λϵℂ\] − [∞,0], is solved by using the method of integral equations. However, for estimating the corresponding solutions in Lp norms, it turns out that a certain operator defined on the spaces Lr(∂Ω)3, for r ϵ]1, ∞[, has to be evaluated in the norm of Lr(∂Ω)3. This estimate is proved in the present paper. Copyright © 1990 John Wiley & Sons, Ltd

引用

页码：323 / 333

页数：11