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, 1997, Volume 61, Issue 4, Pages 877–898
DOI: https://doi.org/10.1070/im1997v061n04ABEH000142 (Mi im142) 		 
Asymptotic splitting of boundary-value problems for the Helmholtz equation in a strip with “permeable” boundaries

S. L. Edelstein

Rostov State University
English version PDF (266 kB)
References:
PDF
HTML
DOI: https://doi.org/10.1070/im1997v061n04ABEH000142
Abstract: This paper is devoted to a boundary-value problem in a strip for the Helmholtz equation. This problem is a mathematical model of a hydro-acoustic waveguide with a permeable boundary. The boundary condition involves a translation-invariant operator symbolizing impendance. It is assumed that the coefficient of the Helmholtz equation varies slowly along the strip. Theorems on the unique solubility of the problem are proved, asymptotic formulae (with respect to the slowness parameter) are derived for its solution, and the practical significance of the results is discussed.
Received: 06.10.1995
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1997, Volume 61, Issue 4, Pages 203–224
DOI: https://doi.org/10.4213/im142
Bibliographic databases:
MSC: 35J05, 35J25
Language: English
Original paper language: Russian
Citation: S. L. Edelstein, “Asymptotic splitting of boundary-value problems for the Helmholtz equation in a strip with “permeable” boundaries”, Izv. RAN. Ser. Mat., 61:4 (1997), 203–224; Izv. Math., 61:4 (1997), 877–898
Citation in format AMSBIB
\Bibitem{Ede97}
\by S.~L.~Edelstein
\paper Asymptotic splitting of boundary-value problems for the Helmholtz equation in a~strip with ``permeable'' boundaries
\jour Izv. RAN. Ser. Mat.
\yr 1997
\vol 61
\issue 4
\pages 203--224
\mathnet{http://mi.mathnet.ru/im142}
\crossref{https://doi.org/10.4213/im142}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1480763}
\zmath{https://zbmath.org/?q=an:0893.35022}
\elib{https://elibrary.ru/item.asp?id=15055703}
\transl
\jour Izv. Math.
\yr 1997
\vol 61
\issue 4
\pages 877--898
\crossref{https://doi.org/10.1070/im1997v061n04ABEH000142}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000071094300010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33747385028}
Linking options:
  • https://www.mathnet.ru/eng/im142
  • https://doi.org/10.1070/im1997v061n04ABEH000142
  • https://www.mathnet.ru/eng/im/v61/i4/p203
    • 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:471
    Russian version PDF:205
    English version PDF:7
    References:90
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024