Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya: Mathematics, 2003, Volume 67, Issue 6, Pages 1101–1148
DOI: https://doi.org/10.1070/IM2003v067n06ABEH000459 (Mi im459) 		 
This article is cited in 23 scientific papers (total in 23 papers)

Asymptotics and estimates for the eigenelements of the Laplacian with frequently alternating non-periodic boundary conditions

D. I. Borisov
English version PDF (467 kB) Citations (23)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM2003v067n06ABEH000459
Abstract: We consider a singularly perturbed spectral boundary-value problem for the Laplace operator in a two-dimensional domain with frequently alternating non-periodic boundary conditions. Under certain very weak restrictions on the alternation structure of the boundary conditions, we obtain the first terms of the asymptotic expansions of the eigenelements of this problem. Under still weaker restrictions, we obtain estimates for the rate of convergence of the eigenvalues.
Received: 12.09.2002
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2003, Volume 67, Issue 6, Pages 23–70
DOI: https://doi.org/10.4213/im459
Bibliographic databases:
UDC: 517.956
MSC: 35P05, 35J05, 35B25, 35J25, 35B27
Language: English
Original paper language: Russian
Citation: D. I. Borisov, “Asymptotics and estimates for the eigenelements of the Laplacian with frequently alternating non-periodic boundary conditions”, Izv. RAN. Ser. Mat., 67:6 (2003), 23–70; Izv. Math., 67:6 (2003), 1101–1148
Citation in format AMSBIB
\Bibitem{Bor03}
\by D.~I.~Borisov
\paper Asymptotics and estimates for the eigenelements of the Laplacian with frequently alternating non-periodic boundary conditions
\jour Izv. RAN. Ser. Mat.
\yr 2003
\vol 67
\issue 6
\pages 23--70
\mathnet{http://mi.mathnet.ru/im459}
\crossref{https://doi.org/10.4213/im459}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2032090}
\zmath{https://zbmath.org/?q=an:1067.35055}
\elib{https://elibrary.ru/item.asp?id=14455212}
\transl
\jour Izv. Math.
\yr 2003
\vol 67
\issue 6
\pages 1101--1148
\crossref{https://doi.org/10.1070/IM2003v067n06ABEH000459}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000189123100002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-11144283852}
Linking options:
  • https://www.mathnet.ru/eng/im459
  • https://doi.org/10.1070/IM2003v067n06ABEH000459
  • https://www.mathnet.ru/eng/im/v67/i6/p23
    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:589
    Russian version PDF:265
    English version PDF:24
    References:86
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024