Zapiski Nauchnykh Seminarov LOMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov LOMI, 1979, Volume 89, Pages 14–53 (Mi znsl3119)  
This article is cited in 2 scientific papers (total in 2 papers)

The focussing problem and spectral function asymptotics of Laplace– Beltrami operator. II

V. M. Babich
Full-text PDF (1848 kB) Citations (2)
Abstract: The subject of the paper is the construction of formal high frequency solution of the source problem in the neighbourhood of a reflecting boundary. The boundary is geodesically concave. It gives the possibility to use diffraction methods by V. A. Fock. and J. B. Keller. The formal solution of the source problem is applied to obtain the asymptotics of spectral function of Laplace–Beltrami operator.
English version:
Journal of Soviet Mathematics, 1982, Volume 19, Issue 4, Pages 1288–1322
DOI: https://doi.org/10.1007/BF01085019
Bibliographic databases:
UDC: 534.213
Language: Russian
Citation: V. M. Babich, “The focussing problem and spectral function asymptotics of Laplace– Beltrami operator. II”, Mathematical problems in the theory of wave propagation. Part 10, Zap. Nauchn. Sem. LOMI, 89, "Nauka", Leningrad. Otdel., Leningrad, 1979, 14–53; J. Soviet Math., 19:4 (1982), 1288–1322
Citation in format AMSBIB
\Bibitem{Bab79}
\by V.~M.~Babich
\paper The focussing problem and spectral function asymptotics of Laplace-- Beltrami operator.~II
\inbook Mathematical problems in the theory of wave propagation. Part~10
\serial Zap. Nauchn. Sem. LOMI
\yr 1979
\vol 89
\pages 14--53
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3119}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=557195}
\zmath{https://zbmath.org/?q=an:0427.35052|0495.35066}
\transl
\jour J. Soviet Math.
\yr 1982
\vol 19
\issue 4
\pages 1288--1322
\crossref{https://doi.org/10.1007/BF01085019}
Linking options:
  • https://www.mathnet.ru/eng/znsl3119
  • https://www.mathnet.ru/eng/znsl/v89/p14
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:218
    Full-text PDF :70
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024