Geodesic
Solution to the boundary value problem for an arbitrary elliptic operator subject to a radiation condition
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 12, pp. 2228-2234

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It is shown that the generalized Fourier transform can be extended to an arbitrary elliptic operator in a cylindrical domain with a Robin boundary condition. In this case, the existence of the Fourier image is a completely correct radiation condition determining a solution to the problem that is a superposition of waves traveling away from the source. 
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     title = {Solution to the boundary value problem for an arbitrary elliptic operator subject to a~radiation condition},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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A. N. Bogolyubov; M. D. Malykh; Yu. V. Mukhartova. Solution to the boundary value problem for an arbitrary elliptic operator subject to a radiation condition. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 12, pp. 2228-2234. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_12_a10/