Geodesic
Limiting absorbtion principle in the problem of transparent wedge
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 35, Tome 332 (2006), pp. 138-148

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The problem of diffraction a plane wave by a transparent wedge is considered (the wave numbers inside the wedge and outside it are different). An absorbtion is introduced into the medium. The existence of the solution satisfying limiting absorbtion principle is proved. The existence theorem and possibility of passage to the limit are proved for respective equations. 
@article{ZNSL_2006_332_a8,
     author = {N. V. Mokeeva},
     title = {Limiting absorbtion principle in the problem of transparent wedge},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {138--148},
     publisher = {mathdoc},
     volume = {332},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_332_a8/}
}
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N. V. Mokeeva. Limiting absorbtion principle in the problem of transparent wedge. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 35, Tome 332 (2006), pp. 138-148. http://geodesic.mathdoc.fr/item/ZNSL_2006_332_a8/