Geodesic
About correctnes of the diffraction problems in case of angle domains
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 34, Tome 324 (2005), pp. 131-147 Cet article a éte moissonné depuis la source Math-Net.Ru

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The subject of the paper is the proof of correctnes of the problem of diffraction a plane wave by a wedge. (The problem is scalar, the wave numbers inside the wedge and outside it are different). The method of the proof is analogous of one in the book [2]. The most essential difference in the consideration of this paper and the book [2] connected with the “isomorfism theorem”. 
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N. V. Mokeeva. About correctnes of the diffraction problems in case of angle domains. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 34, Tome 324 (2005), pp. 131-147. http://geodesic.mathdoc.fr/item/ZNSL_2005_324_a8/

[1] Se-Yun Kim, Jung-Woong Ra, Sang-Yung Shin, “Diffraction by an Arbitrary-Angled Dielectric Wedge. Part I: Physical Optics Approximation”, IEEE Transactions on Antennas and Propagation, 39:9 (1999), 1272–1292 | DOI

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

[3] Ch. Bergljung, S. Berntsen, “Diffraction by a dielectric wedge at skew incidence”, Q. J. Mech. Appl. Math., 54:4 (2001), 549–583 | DOI | MR | Zbl

[4] T. N. Galishnikova, A. S. Ilinskii, Chislennye metody v zadachakh difraktsii, Izd-vo Moskovsk. un.-ta, 1987 | MR | Zbl

[5] V. M. Babich, M. A. Lyalinov, V. E. Grikurov, Metod Zommerfelda–Malyuzhintsa v teorii difraktsii, S.-Peterburg, 2003

[6] V. Kamotski, G. Lebeau, “Diffraction by an elastic wedge with stress-free boundary: existence and uniqueness”, Proc. R. Soc. Lond. A, 2005 (to appear) | MR

[7] Gilles Lebeau, Propogation des ondes dans les diedres, Memoires Soc. Math. Fr. Nouv. Ser., 60, 1995 | Zbl