The Wave Difracted by a Wedge with Mixed Boundary Conditions
This book studies diffraction of a wave by a wedge in R2. The faces of the wedge are described by analytic functions and are equipped with mixed boundary conditions of impedance type. The solutions are shown to be locally a sum of two reflected waves and one diffracted wave, and explicit formulas in terms of the Fourier transform are given. Moreover, the leading order term is the same as that corresponding to the linearised wedge. Results of the book generalise previously known results concerning straight wedges and curved wedges with Dirichlet boundary conditions.
It is not easy to read this book which has a rather concise style, many technical computations, and partial dependence (both in ideas and notation) on previous papers.