Geodesic
The Maslov Canonical Operator on Lagrangian Manifolds in the Phase Space Corresponding to a~Wave Equation Degenerating on the Boundary
Matematičeskie zametki, Tome 96 (2014) no. 2, pp. 261-276

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We construct the Maslov canonical operator on Lagrangian manifolds in the phase space corresponding to the wave equation in a domain on whose boundary the wave propagation velocity $c(x)$ degenerates as the square root of the distance from the boundary.
Keywords: wave equation, boundary, degeneration, asymptotics, Maslov canonical operator, Lagrangian manifold. 
@article{MZM_2014_96_2_a10,
     author = {V. E. Nazaikinskii},
     title = {The {Maslov} {Canonical} {Operator} on {Lagrangian} {Manifolds} in the {Phase} {Space} {Corresponding} to {a~Wave} {Equation} {Degenerating} on the {Boundary}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {261--276},
     publisher = {mathdoc},
     volume = {96},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_96_2_a10/}
}
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V. E. Nazaikinskii. The Maslov Canonical Operator on Lagrangian Manifolds in the Phase Space Corresponding to a~Wave Equation Degenerating on the Boundary. Matematičeskie zametki, Tome 96 (2014) no. 2, pp. 261-276. http://geodesic.mathdoc.fr/item/MZM_2014_96_2_a10/