Explicit solution of the jump problem for the Laplace equationand singularities at the edges
Explicit solution of the jump problem for the Laplace equationand singularities at the edges
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 jump of its normal derivative are specified on the cuts. The problem is studied under different conditions at infinity, which lead to different …