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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

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},
     year = {1985},
     volume = {148},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_148_a14/}
}
TY  - JOUR
AU  - V. P. Smyshlyaev
TI  - The method of quasi-homogeneous functions and the Pock problem
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1985
SP  - 144
EP  - 151
VL  - 148
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1985_148_a14/
LA  - ru
ID  - ZNSL_1985_148_a14
ER  - 
%0 Journal Article
%A V. P. Smyshlyaev
%T The method of quasi-homogeneous functions and the Pock problem
%J Zapiski Nauchnykh Seminarov POMI
%D 1985
%P 144-151
%V 148
%U http://geodesic.mathdoc.fr/item/ZNSL_1985_148_a14/
%G ru
%F ZNSL_1985_148_a14
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/