Problem with displacements for the three-dimensional Bianchi equation

被引：4

作者：

Utkina, E. A. ^{[1
]}

机构：

[1] Tatar State Univ Humanities & Educ, Kazan, Russia

来源：

DIFFERENTIAL EQUATIONS | 2010年 / 46卷 / 04期

关键词：

BOUNDARY-VALUE-PROBLEMS;

D O I：

10.1134/S0012266110040099

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Bianchi equation in a rectangular 3D parallelepiped G. For this equation, we analyze the problem of finding a regular solution on the basis of three given linear relations each of which relates the values of the unknown function at 60 points lying on the faces of G and inside the domain. We obtain sufficient conditions for the unique solvability of the problem in terms of the coefficients of these relations.

引用

页码：538 / 542

页数：5

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