... D. 3.27Therefore, the well-known jump relationships see 13, 14 imply that−→ψ a, b, c, dT0, 0, 0, 0T. 3.28So we complete the proof of the theorem.Combining Theorems ... of it by the assumption that Im k>0, then Theorem 2.1 in Section 2and Theorem 3.3 in Section 3 are also true.Boundary Value Problems 7Then zero extend b, c,andd to the whole ∂Ω in the following:b ... Boundary Value Problemsproblem. Therefore, in the following we just consider the direct scattering problem for amixture of a crack Γ and a bounded domain D, and the corresponding inverse scatteringproblem...