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.
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页数：37
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