Geodesic
Concentration of solutions near the limiting ray in the neighbourhood of a boundary flex point
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 18, Tome 173 (1988), pp. 155-158

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The question of the concentration of energy of a 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. 
@article{ZNSL_1988_173_a13,
     author = {V. P. Smyshlyaev},
     title = {Concentration of solutions near the limiting ray in the neighbourhood of a boundary flex point},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {155--158},
     publisher = {mathdoc},
     volume = {173},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1988_173_a13/}
}
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V. P. Smyshlyaev. Concentration of solutions near the limiting ray in the neighbourhood of a boundary flex point. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 18, Tome 173 (1988), pp. 155-158. http://geodesic.mathdoc.fr/item/ZNSL_1988_173_a13/