Resolvent estimates for the Stokes operator in bounded and exterior C1 domains

被引：0

作者：

Geng, Jun ^{[1
]}

Shen, Zhongwei ^{[2
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou, Peoples R China

[2] Univ Kentucky, Dept Math, Lexington, KY 40506 USA

来源：

MATHEMATISCHE ANNALEN | 2024年

基金：

美国国家科学基金会;

关键词：

35Q30; SEMIGROUP; SYSTEM; ANALYTICITY; REGULARITY;

D O I：

10.1007/s00208-024-02956-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish resolvent estimates in L-q spaces for the Stokes operator in a bounded C-1 domain Omega in R-d. As a corollary, it follows that the Stokes operator generates a bounded analytic semigroup in L-q(Omega;C-d) for any 1<q<infinity and d >= 2. The case of an exterior C-1 domain is also studied.

引用

页数：37

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