期刊论文详细信息
Boundary value problems
On the solvability conditions of the first boundary value problem for a system of elliptic equations that strongly degenerate at a point
Stasys Rutkauskas1 
[1] Institute of Mathematics and Informatics of Vilnius University, Vilnius, Lithuania
关键词: systems of elliptic equations;    degenerate elliptic equations;    boundary value problems;    Dirichlet type problem;   
DOI  :  10.1186/1687-2770-2011-16
学科分类:数学(综合)
来源: SpringerOpen
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【 摘 要 】

A system of elliptic equations which are irregularly degenerate at an inner point is considered in this article. The equations are weakly coupled by a matrix that has multiple zero eigenvalue and corresponding to it adjoint vectors. Two statements of a well-posed Dirichlet type problem in the class of smooth functions are given and sufficient conditions on the existence and uniqueness of the solutions are obtained.

【 授权许可】

CC BY   

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