On estimates for the Stokes flow in a space of bounded functions

被引：10

作者：

Abe, Ken ^{[1
]}

机构：

[1] Kyoto Univ, Fac Sci, Dept Math, Sakyo Ku, Kitashirakawa Oiwake Cho, Kyoto 6068502, Japan

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年 / 261卷 / 03期

关键词：

Stokes semigroup; Helmholtz projection; Composition operator; Bounded function spaces; Interpolation; HALF-SPACE; EQUATIONS; UNIQUENESS; SEMIGROUP; OPERATOR; ANALYTICITY; EXISTENCE;

D O I：

10.1016/j.jde.2016.04.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study regularizing effects of the composition operator S(t)P partial derivative for the Stokes semi group S (t) and the Helmholtz projection P in a space of bounded functions. We establish new a priori L-infinity-estimates of the operator S(t)P partial derivative for a certain class of domains including bounded and exterior domains. They imply unique existence of mild solutions of the Navier-Stokes equations in a space of bounded functions. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：1756 / 1795

页数：40

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