THE DOUBLE-LAYER POTENTIAL METHOD FOR A BOUNDARY TRANSMISSION PROBLEM FOR THE LAPLACE OPERATOR IN AN INFINITE WEDGE

This paper is concerned with the solution of a boundary transmission problem in an infinite wedge. We treat this problem by a boundary integral method using Green's contact function for two half-spaces. The integral operators are studied via a harmonic analysis approach which goes back to a paper of Fabes et al. We improve their results studying the Fourier symbol of the associated integral operators on the half-plane. This leads to invertibility criteria for the boundary integral operators.