Geodesic
On computation of the diagram of the wave, scattered by the vertex of a cone of arbitrary shape
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 28, Tome 257 (1999), pp. 7-15 Cet article a éte moissonné depuis la source Math-Net.Ru

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A method of computation (a version of Abel–Poisson method of summation of divergent series) of the diagram of the wave scattered by the vertex of a cone of arbitrary shape is justified. Applying the techniques of parabolic operators it is shown that the approximation, as well as all its derivatives, converges uniformly in the domain of regularity of scattering amplitude. 
@article{ZNSL_1999_257_a0,
     author = {V. M. Babich and V. V. Kamotskii},
     title = {On computation of the diagram of the wave, scattered by the vertex of a~cone of arbitrary shape},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {7--15},
     year = {1999},
     volume = {257},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_257_a0/}
}
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V. M. Babich; V. V. Kamotskii. On computation of the diagram of the wave, scattered by the vertex of a cone of arbitrary shape. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 28, Tome 257 (1999), pp. 7-15. http://geodesic.mathdoc.fr/item/ZNSL_1999_257_a0/