Maximal regularity of the Stokes system with Navier boundary condition in general unbounded domains

被引：4

作者：

Farwig, Reinhard ^{[1
]}

Rosteck, Veronika ^{[1
]}

机构：

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

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2019年 / 71卷 / 04期

关键词：

Stokes operator; maximal regularity; Navier boundary condition; Robin boundary condition; general unbounded domains; spaces (L)over-tilde(q)(Omega); H-INFINITY-CALCULUS; L-Q-SPACES; RESOLVENT ESTIMATE; WEAK SOLUTIONS; OPERATOR; EQUATIONS;

D O I：

10.2969/jmsj/81038103

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider the instationary Stokes system in general unbounded domains Omega subset of R-n, n >= 2, with boundary of uniform class C-3, and Navier slip or Robin boundary condition. The main result of this article is the maximal regularity of the Stokes operator in function spaces of the type (L) over tilde (q) defined as L-q boolean AND L-2 when q >= 2, but as L-q + L-2 when 1 < q < 2, adapted to the unboundedness of the domain.

引用

页码：1293 / 1319

页数：27

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