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Matematicheskie Zametki, 2014, Volume 96, Issue 2, Pages 261–276
DOI: https://doi.org/10.4213/mzm10481 (Mi mzm10481) 		 
This article is cited in 28 scientific papers (total in 28 papers)

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

V. E. Nazaikinskiiab

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
Full-text PDF (617 kB) Citations (28)
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DOI: https://doi.org/10.4213/mzm10481
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.
Received: 11.04.2014
English version:
Mathematical Notes, 2014, Volume 96, Issue 2, Pages 248–260
DOI: https://doi.org/10.1134/S0001434614070268
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: 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, 96:2 (2014), 261–276; Math. Notes, 96:2 (2014), 248–260
Citation in format AMSBIB
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    • This publication is cited in the following 28 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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