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

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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.
@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},
     publisher = {mathdoc},
     volume = {324},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2005_324_a3/}
}
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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/