The double layer potential method for a boundary transmission problem for the Laplace operator in an infinite wedge

摘要

AbstractThis 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 Fabeset 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 operat