Zayaev, A. B. 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 Cited in 1 Review MSC: 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 35C20 Asymptotic expansions of solutions to PDEs 78A45 Diffraction, scattering Keywords:two-dimensional Dirichlet problem; Helmholtz equation; asymptotics of Green functions; shadow zone; short wave diffraction PDFBibTeX XML Full Text: EuDML