ELASTODYNAMICAL SCATTERING BY N-PARALLEL HALF-PLANES IN R-3 .2. EXPLICIT SOLUTIONS FOR N = 2 BY EXPLICIT SYMBOL FACTORIZATION

In this paper, which is a continuation of [73] part I, explicit soluti ons of two mixed b.v.ps. for the vectorial Lame equation with DDT/DDT data, TTD/TTD data, resp., given on a system Sigma of N = 2 parallel s creen-crack half-planes are derived by explicit calculation of the fac tors of the corresponding (residual) L-2-lifted nonrational 6 x 6 Wien er-Hopf-Fourier symbol matrices, which were scalarized to n-part form (n = 6) structures. For a single screen two WHOs closely related to th e Rawlins problem and the impedance problem for the (scalar) Helmholtz equation are established to be Fredholm operators, the second when as suming the regularity higher than H-1 i.e. H1+delta, 0 < delta < 1/2. The WHO of the N-screen Dirichlet (and Neumann) problem for the Helmho ltz equation is shown to be invertible by an operator Neumann series, even for small distances between the half-planes.