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On concentration of solutions near the limiting ray in a neighbourhood of the inflexion point of a boundary. (Russian. English summary) Zbl 0694.35167

Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 173, 155-158 (1988).
Summary: [For the entire collection see Zbl 0657.00014.]
The question of the concentration of energy of the wave field in the neighbourhood of the limiting ray in the problem on the whispering gallery waves near a boundary flex point is considered. An estimate concerning this matter is proved.

MSC:

35Q99 Partial differential equations of mathematical physics and other areas of application
35K15 Initial value problems for second-order parabolic equations
35B40 Asymptotic behavior of solutions to PDEs

Citations:

Zbl 0657.00014
Full Text: EuDML