Diffraction by rectangular wedges involving oblique derivatives
The main objective is the study of a class of boundary value
problems in weak formulation where two boundary conditions are
given on the half-lines bordering the first quadrant that contain
impedance data and oblique derivatives. The associated operators
are reduced by matricial coupling relations to certain boundary
pseudodifferential operators which can be analyzed in detail.
Results are: Fredholm criteria, explicit construction of
generalized inverses in Bessel potential spaces, eventually after
normalization, and regularity results. Particular interest is
devoted to the oblique derivative problem. The lecture is based
upon recent work with L.P. Castro and F.S. Teixeira.
