Mathematics of the USSR-Izvestiya
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

Mathematics of the USSR-Izvestiya, 1982, Volume 18, Issue 1, Pages 89–98
DOI: https://doi.org/10.1070/IM1982v018n01ABEH001384 (Mi im1549) 		 
This article is cited in 46 scientific papers (total in 46 papers)

Elliptic boundary value problems with periodic coefficients in a cylinder

S. A. Nazarov
English version PDF (487 kB) Citations (46)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1982v018n01ABEH001384
Abstract: In a domain with periodically varying cross-section, this paper studies boundary value problems, elliptic in the Douglis–Nirenberg sense, in which the coefficients are periodic functions with the same period. Necessary and sufficient conditions for the unique solvability of these problems in function spaces with weighted norms are proved, and theorems on the Noether property and on the asymptotics of the solutions of boundary value problems with exponentially small perturbations of the coefficients are adduced.
Bibliography: 15 titles.
Received: 07.02.1980
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1981, Volume 45, Issue 1, Pages 101–112
Bibliographic databases:
UDC: 517.948
MSC: Primary 35J55, 35A05; Secondary 35B20, 35B40
Language: English
Original paper language: Russian
Citation: S. A. Nazarov, “Elliptic boundary value problems with periodic coefficients in a cylinder”, Izv. Akad. Nauk SSSR Ser. Mat., 45:1 (1981), 101–112; Math. USSR-Izv., 18:1 (1982), 89–98
Citation in format AMSBIB
\Bibitem{Naz81}
\by S.~A.~Nazarov
\paper Elliptic boundary value problems with periodic coefficients in a~cylinder
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1981
\vol 45
\issue 1
\pages 101--112
\mathnet{http://mi.mathnet.ru/im1549}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=607578}
\zmath{https://zbmath.org/?q=an:0483.35032|0462.35034}
\transl
\jour Math. USSR-Izv.
\yr 1982
\vol 18
\issue 1
\pages 89--98
\crossref{https://doi.org/10.1070/IM1982v018n01ABEH001384}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981NH92800005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-54849127900}
Linking options:
  • https://www.mathnet.ru/eng/im1549
  • https://doi.org/10.1070/IM1982v018n01ABEH001384
  • https://www.mathnet.ru/eng/im/v45/i1/p101
    • This publication is cited in the following 46 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:593
    Russian version PDF:171
    English version PDF:8
    References:77
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024