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Strict justification of asymptotics of the Green function in the shadow zone for the diffraction problem on a convex body. (Russian. English summary) Zbl 0596.35021

Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 148, 79-88, 78 (1985).
The two-dimensional Dirichlet problem for the Helmholtz equation is studied. The asymptotics of Green functions in the shadow zone are strictly obtained for short wave diffraction on a convex body.
Reviewer: E.Malec

MSC:

35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35C20 Asymptotic expansions of solutions to PDEs
78A45 Diffraction, scattering
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