| Title |
On the solvability conditions of the first boundary value problem for a system of elliptic equations that strongly degenerate at a point / |
| Authors |
Rutkauskas, Stasys |
| DOI |
10.1186/1687-2770-2011-16 |
| Full Text |
|
| Is Part of |
Boundary value problems.. New York : Hindawi Publishing Corporation. 2011, vol, Art. no 16 [p. 1-11].. ISSN 1687-2762 |
| Keywords [eng] |
Systems of elliptic equations ; Degenerate elliptic equations ; Boundary value problems ; Dirichlet type problem |
| Abstract [eng] |
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. |
| Published |
New York : Hindawi Publishing Corporation |
| Type |
Journal article |
| Language |
English |
| Publication date |
2011 |
