Geodesic
Spectral function approach to the double wedges diffraction problem
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 34, Tome 324 (2005), pp. 61-76 
V. V. Kamotskii. Spectral function approach to the double wedges diffraction problem. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 34, Tome 324 (2005), pp. 61-76. http://geodesic.mathdoc.fr/item/ZNSL_2005_324_a3/
@article{ZNSL_2005_324_a3,
     author = {V. V. Kamotskii},
     title = {Spectral function approach to the double wedges diffraction problem},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {61--76},
     year = {2005},
     volume = {324},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2005_324_a3/}
}
TY  - JOUR
AU  - V. V. Kamotskii
TI  - Spectral function approach to the double wedges diffraction problem
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2005
SP  - 61
EP  - 76
VL  - 324
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2005_324_a3/
LA  - ru
ID  - ZNSL_2005_324_a3
ER  - 
%0 Journal Article
%A V. V. Kamotskii
%T Spectral function approach to the double wedges diffraction problem
%J Zapiski Nauchnykh Seminarov POMI
%D 2005
%P 61-76
%V 324
%U http://geodesic.mathdoc.fr/item/ZNSL_2005_324_a3/
%G ru
%F ZNSL_2005_324_a3

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In this work the problem of diffraction by two wedges with ideal boundary conditions (Dirichlet or Neumann) is considered. Uniqueness is obtained in a general setting. Spectral functions approach turns out to be applicable under certain “narrowness” geometrical assumptions and leads to the existence of a solution.

[1] J.-P. Croisille, G. Lebeau, Diffraction by an immersed elastic wedge, Lecture Notes in Mathematics, 1723, Springer, 1999 | MR | Zbl

[2] V. Kamotski, G. Lebeau, Diffraction by an elastic wedge with stress-free boundary: existence and uniqueness, Preprint POMI 08/2003 ; Proc. R. Soc. Lond. A, 2005 (to appear) | MR

[3] V. V. Kamotskii, “O padenii ploskoi volny na uprugii klin pod kriticheskim uglom”, Algebra i Analiz, 15:3 (2003), 145–169 | MR | Zbl