Smyshlyaev, V. P. 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. Cited in 1 Review 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 Keywords:concentration of energy Citations:Zbl 0657.00014 PDFBibTeX XML Full Text: EuDML