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.
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页码：23 / 40
页数：18
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