Geodesic
Asymptotic behaviour of Green's function of the first boundary value problem
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (1999) no. 1, pp. 100-123 Cet article a éte moissonné depuis la source Math-Net.Ru

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The first boundary value problem for the Helmholtz equation in the domain external to the periodic structure of bodies is considered. The asymptotic behaviour of Green's function of this problem is studied when the period of the structure and the wave length are sufficiently small. It is shown that the structure of bodies can be replaced by the effective potential. 
@article{JMAG_1999_6_1_a6,
     author = {V. A. Rybalko},
     title = {Asymptotic behaviour of {Green's} function of the first boundary value problem},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {100--123},
     year = {1999},
     volume = {6},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JMAG_1999_6_1_a6/}
}
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V. A. Rybalko. Asymptotic behaviour of Green's function of the first boundary value problem. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (1999) no. 1, pp. 100-123. http://geodesic.mathdoc.fr/item/JMAG_1999_6_1_a6/