On wave diffraction by a half-plane with different face impedances

The impedance wave diffraction problem by a half-plane screen is revisited in view of its well-posedness upon different impedance and wave parameters. The problem is analysed with the help of potential and pseudo-differential operators. Seven conditions between the impedance and wave numbers are found under which the problem will be well-posed in Bessel potential spaces. In addition, an improvement of the regularity of the solutions is shown for the previous seven conditions.