REMARKS ON THE Lp-APPROACH TO THE STOKES EQUATION ON UNBOUNDED DOMAINS

被引：2

作者：

Geissert, Matthias ^{[1
]}

Heck, Horst ^{[1
]}

Hieber, Matthias ^{[1
]}

Sawada, Okihiro ^{[1
]}

机构：

[1] Tech Univ Darmstadt, Fachbereich Math, Schlossgartenstr 7, D-64289 Darmstadt, Germany

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2010年 / 3卷 / 02期

关键词：

Stokes equation; unbounded domains; noncompact boundary;

D O I：

10.3934/dcdss.2010.3.291

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider a domain Omega subset of R-n with uniform C-3-boundary and assume that the Helmholtz projection P exists on L-p(Omega) for some 1 < p < infinity. Of concern are recent results on the Stokes operator in L-p(Omega) generating an analytic semigroup on L-p(Omega) and admitting maximal L-p-L-q-regularity.

引用

页码：291 / 297

页数：7

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