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Direction diagram of radiation in the problem of an inflection point of the boundary. (English) Zbl 0584.35096

Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 140, 167-173 (Russian) (1984; Zbl 0557.35098).

MSC:

35Q99 Partial differential equations of mathematical physics and other areas of application
35B40 Asymptotic behavior of solutions to PDEs
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
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References:

[1] M. M. Popov, ?On the problem of whispering-gallery waves in a neighborhood of a simple zero of the effective curvature of the boundary,? J. Sov. Math.,11, No. 5 (1979). · Zbl 0401.76067
[2] M. M. Popov, ?The whispering-gallery wave in a neighborhood of an inflection point of the boundary. Asymptotics of the wave field as t ? ?,? J. Sov. Math.,32, No. 2 (1986). · Zbl 0584.35099
[3] V. S. Buldyrev, ?The propagation of whispering-gallery waves over a concave-convex boundary,? in: Brief Summaries of Reports. VII All-Union Symposium on the Diffraction and Propagation of Waves, Vol. 1, Moscow (1977), pp. 33?36.
[4] V. S. Buldyrev and A. I. Lanin, ?The radiation field of whispering-gallery waves over a concave-convex boundary,? J. Sov. Math.,20, No. 1 (1982). · Zbl 0494.35024
[5] M. M. Popov and I. Pshenchik, ?Numerical solution of the problem of whispering-gallery waves in a neighborhood of a simple zero of the effective curvature of the boundary,? J. Sov. Math.,11, No. 5 (1979).
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