| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9509417 | Journal of Computational and Applied Mathematics | 2005 | 9 Pages |
Abstract
The boundary value problem for the Laplace equation outside several cuts in a plane is studied. The jump of the solution of the Laplace equation and the boundary condition containing the jump of its normal derivative are specified of the cuts. The unique solution of this problem is obtained. The problem is reduced to the uniquely solvable Fredholm equation of the second kind and index zero. The singularities at the ends of the cuts are investigated.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
P.A. Krutitskii,