On some transmission problems in a plane corner

Abstract

We consider the transmission problem in Sobolev
Slobodetskii spaces for two model general elliptic pseudo differential
equations in a plane, where a one equation is given inside a corner,
and another one is outside. Starting from general solutions of these
equations we consider certain transmission conditions on angle sides.
For some cases this transmission problem was reduced to an equivalent
system of one-dimensional linear integral equations.