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Concentration of the solutions near a limit ray in the neighborhood of an inflection point of the boundary

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Abstract

One considers the question regarding the energy concentration of a wave field in the neighborhood of a limit ray in the problem of the behavior of whispering gallery waves near an inflection point of the boundary. An estimate related to this question is proved.

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Authors
  1. V. P. Smyshlyaev
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 173, pp. 155–158, 1988.

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Smyshlyaev, V.P. Concentration of the solutions near a limit ray in the neighborhood of an inflection point of the boundary. J Math Sci 55, 1757–1760 (1991). https://doi.org/10.1007/BF01098215

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  • DOI: https://doi.org/10.1007/BF01098215

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