Lp-theory for the Stokes system in 3D domains with conical boundary points

被引:0
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作者
Deuring, P [1 ]
机构
[1] Univ Halle Wittenberg, Fachbereich Math & Informat, Inst Anal, D-06099 Halle, Germany
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中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This article deals with the Stokes system in 3D interior and exterior domains with conical boundary points. Solutions verifying a Dirichlet or a no-slip boundary condition are shown to exist in suitable L-p-spaces. By means of the boundary potential method, this L-P-theory is reduced to the Fredholm properties of certain integral operators involving singular integrals on the boundary of the respective domains.
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页码:11 / 47
页数:37
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