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A high-frequency point source of oscillations near a concave mirror. (English) Zbl 0401.35022


MSC:

35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
35B40 Asymptotic behavior of solutions to PDEs
35P25 Scattering theory for PDEs

Citations:

Zbl 0345.35030
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Full Text: DOI

References:

[1] R. N. Buchal and J. B. Keller, ?Boundary layer problems in diffraction theory,? Commun. Pure Appl. Math.,13, No. 1, 85?114 (1960). · Zbl 0094.41803
[2] V. M. Babich and N. Ya. Kirpichnikova, The Boundary Layer Method in Diffraction Problems for Short Waves [in Russian], Leningrad State Univ. (1974).
[3] V. A. Fock, Electromagnetic Diffraction and Propagation Problems, Pergamon (1965).
[4] V. M. Babich and V. S. Buldyrev, Asymptotic Methods in Diffraction Problems for Short Waves [in Russian], Moscow (1972). · Zbl 0255.35002
[5] V. S. Buslaev, ?Potential theory and geometrical optics,? Zap. Nauchn. Sem. Leningr. Ota. Mat. Inst.,22, 175?180 (1971). · Zbl 0284.35017
[6] A. Erdelyi, Asymptotic Expansions, Dover (1961).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.