Analyticity of the semi-group generated by the Stokes operator with Navier-type boundary conditions on Lp-spaces

被引：5

作者：

Al Baba, Hind ^{[1
]}

Amrouche, Cherif ^{[1
]}

Escobedo, Miguel ^{[2
]}

机构：

[1] Univ Pau & Pays Adour, CNRS 5142, Lab Math & Leurs Applicat, UMR, Batiment IPRA,Ave Univ,BP 1155, F-64013 Pau, France

[2] Univ Basque Country, Fac Ciencias & Tecnol, Dept Matemat, Barrio Sarriena S-N, Lejona 48940, Vizcaya, Spain

来源：

RECENT ADVANCES IN PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2016年 / 666卷

关键词：

Analytic semi-group; Stokes operator; Navier-type boundary condition; L-p-spaces; VECTOR POTENTIALS; EQUATIONS;

D O I：

10.1090/conm/666/13337

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the analyticity of the semi-group generated by the Stokes operator with Navier-type boundary conditions on LP-spaces. This allows us to solve the evolution Stokes problems together with the boundary condition.

引用

页码：23 / 40

页数：18

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