SUMMARYWe consider a non-stationary scattering of plane waves by a wedge. We prove the Sommerfeld-type representation and uniqueness of solution to the Cauchy problem in appropriate functional spaces developing the general method of complex characteristics (Math.

SUMMARYWe consider a nonstationary scattering of plane waves by a wedge. We prove that the Sommerfeldtype integral, constructed in (Math.

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Communicated by M. CostabelWe continue our study of a nonstationary scattering by wedges. In this paper we consider nonstationary scattering of plane waves by a 'hard-soft' wedge. We prove the uniqueness and existence of a solution to the corresponding DN-Cauchy problem in appropriate functional spaces. We also give the explicit form of the solution and prove the Limiting Amplitude Principle.

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