ABSTRACT LP ESTIMATES FOR THE CAUCHY-PROBLEM WITH APPLICATIONS TO THE NAVIER-STOKES EQUATIONS IN EXTERIOR DOMAINS

被引：418

作者：

GIGA, Y ^{[1
]}

SOHR, H ^{[1
]}

机构：

[1] UNIV GESAMTHSCH PADERBORN,DEPT MATH,W-4790 PADERBORN,GERMANY

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1991年 / 102卷 / 01期

关键词：

D O I：

10.1016/0022-1236(91)90136-S

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We apply an abstract perturbation theorem to derive global in time Lq estimates for the Cauchy problem and Lq - Ls estimates for the nonstationary Stokes equations in exterior domains. This will be applied to obtain various new global in time estimates for weak solutions of the Navier-Stokes equations. © 1991.

引用

页码：72 / 94

页数：23

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