V. E. Nazaikinskii, “The Maslov Canonical Operator on Lagrangian Manifolds in the Phase Space Corresponding to a Wave Equation Degenerating on the Boundary”, Mat. Zametki, 2014, Volume 96, Issue 2,Pages <nobr>261

This article is cited in 34 papers

The Maslov Canonical Operator on Lagrangian Manifolds in the Phase Space Corresponding to a Wave Equation Degenerating on the Boundary

V. E. Nazaikinskii^ab

^a A. Ishlinsky Institite for Problems in Mechanics, Russian Academy of Sciences, Moscow
^b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region

Abstract: 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.

UDC: 517.9

Received: 11.04.2014

DOI: 10.4213/mzm10481