Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




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

Funktsional'nyi Analiz i ego Prilozheniya, 2005, Volume 39, Issue 4, Pages 78–80
DOI: https://doi.org/10.4213/faa87 (Mi faa87) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

Estimates and Spectral Asymptotics for Systems with Multiplicities

I. V. Kamotskiiab, M. V. Ruzhanskya

a Imperial College, Department of Mathematics
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (146 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa87
Abstract: We consider elliptic and hyperbolic systems with diagonalizable principal part. Characteristics are allowed to have variable multiplicities. Assuming that the characteristics are generic, we give estimates for solutions of a hyperbolic Cauchy problem in $L^p$ spaces. The first and second terms of the spectral asymptotics are obtained for the corresponding elliptic system.
Keywords: system with multiplicities, spectral asymptotics, Fourier integral operator, Sobolev space.
Received: 05.02.2004
English version:
Functional Analysis and Its Applications, 2005, Volume 39, Issue 4, Pages 308–310
DOI: https://doi.org/10.1007/s10688-005-0052-2
Bibliographic databases:
Document Type: Article
UDC: 515.1
Language: Russian
Citation: I. V. Kamotskii, M. V. Ruzhansky, “Estimates and Spectral Asymptotics for Systems with Multiplicities”, Funktsional. Anal. i Prilozhen., 39:4 (2005), 78–80; Funct. Anal. Appl., 39:4 (2005), 308–310
Citation in format AMSBIB
\Bibitem{KamRuz05}
\by I.~V.~Kamotskii, M.~V.~Ruzhansky
\paper Estimates and Spectral Asymptotics for Systems with Multiplicities
\jour Funktsional. Anal. i Prilozhen.
\yr 2005
\vol 39
\issue 4
\pages 78--80
\mathnet{http://mi.mathnet.ru/faa87}
\crossref{https://doi.org/10.4213/faa87}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2197516}
\zmath{https://zbmath.org/?q=an:1114.35033}
\transl
\jour Funct. Anal. Appl.
\yr 2005
\vol 39
\issue 4
\pages 308--310
\crossref{https://doi.org/10.1007/s10688-005-0052-2}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000234168400007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-29144449753}
Linking options:
  • https://www.mathnet.ru/eng/faa87
  • https://doi.org/10.4213/faa87
  • https://www.mathnet.ru/eng/faa/v39/i4/p78
    • 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
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
    Statistics & downloads:
    Abstract page:475
    Full-text PDF :190
    References:53
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024