Geodesic
The method of quasi-homogeneous functions and the Pock problem
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 15, Tome 148 (1985), pp. 144-151

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The problem of high frequency diffraction by a smooth convex body is investigated in the vicinity of the point where a limit ray is tangent the boundary of the body. It is shown that the problem may be formulated as a scattering one for Schrodinger equation. By using the technique of a'priory estimations, and the formal solutions of Schrodinger equation in form of quasi-homogeneous functions, the theorems of existence, uniqueness and smoothness of the problem's solution are proved. 
@article{ZNSL_1985_148_a14,
     author = {V. P. Smyshlyaev},
     title = {The method of quasi-homogeneous functions and the {Pock} problem},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {144--151},
     publisher = {mathdoc},
     volume = {148},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_148_a14/}
}
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V. P. Smyshlyaev. The method of quasi-homogeneous functions and the Pock problem. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 15, Tome 148 (1985), pp. 144-151. http://geodesic.mathdoc.fr/item/ZNSL_1985_148_a14/