The Maslov canonical operator on Lagrangian manifolds in the phase space corresponding to a wave equation degenerating on the boundary
Vladimir Evgen'evich Nazaikinskii · Mathematical Notes · 2014
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.