Differential operators and boundary value problems on hypersurfaces

被引：39
|
作者：
Duduchava, L. Roland
Mitrea, Dorina
Mitrea, Marius
机构：
[1] Georgian Acad Sci, A Razmadze Math Inst, GE-93 Tbilisi, Georgia
[2] Univ Missouri, Dept Math, Columbia, MO 65211 USA
来源：
MATHEMATISCHE NACHRICHTEN | 2006年 / 279卷 / 9-10期
关键词：
tangential differential operator; hypersurface; Gunter derivative; Stokes derivative; Laplace-Beltrami operator; Lame operator; Navier-Stokes operator; Bochner-Laplacian; Hodge-Laplacian;
D O I：
10.1002/mana.200410407
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We explore the extent to which basic differential operators (such as Laplace-Beltrami, Lame, Navier-Stokes, etc.) and boundary value problems on a hypersurface S in R-n can be expressed globally, in terms of the standard spatial coordinates in R-n. The approach we develop also provides, in some important cases, useful simplifications as well as new interpretations of classical operators and equations. (C) 2006 WILEYNCH Verlag GmbH & Co. KGaA, Weinheim.
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页码：996 / 1023
页数：28
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