Geodesic
On exact justification of Green's function asymptotics in a shadow for the diffraction problem on a convex contour
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 15, Tome 148 (1985), pp. 79-88 
A. B. Zayaev. On exact justification of Green's function asymptotics in a shadow for the diffraction problem on a convex contour. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 15, Tome 148 (1985), pp. 79-88. http://geodesic.mathdoc.fr/item/ZNSL_1985_148_a8/
@article{ZNSL_1985_148_a8,
     author = {A. B. Zayaev},
     title = {On exact justification of {Green's} function asymptotics in a shadow for the diffraction problem on a convex contour},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {79--88},
     year = {1985},
     volume = {148},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_148_a8/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The two-dimensional Dirichlet problem of short wave diffraction on a smooth convex curve is considered. The Justification of Green's function asymptotics is obtained.