Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{Naz14}
\by V.~E.~Nazaikinskii
\paper The Maslov Canonical Operator on Lagrangian Manifolds in the Phase Space Corresponding to a~Wave Equation Degenerating on the Boundary
\jour Mat. Zametki
\yr 2014
\vol 96
\issue 2
\pages 261--276
\mathnet{http://mi.mathnet.ru/mzm10481}
\crossref{https://doi.org/10.4213/mzm10481}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3344295}
\zmath{https://zbmath.org/?q=an:06434983}
\elib{https://elibrary.ru/item.asp?id=21826547}
\transl
\jour Math. Notes
\yr 2014
\vol 96
\issue 2
\pages 248--260
\crossref{https://doi.org/10.1134/S0001434614070268}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000340938800026}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84906491524}
Linking options:
  • https://www.mathnet.ru/eng/mzm10481
  • https://doi.org/10.4213/mzm10481
  • https://www.mathnet.ru/eng/mzm/v96/i2/p261
    • 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
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:649
    Full-text PDF :467
    References:64
    First page:14
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024