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Matematicheskie Zametki, 2004, Volume 75, Issue 6, Pages 849–860
DOI: https://doi.org/10.4213/mzm76
(Mi mzm76)
 

This article is cited in 4 scientific papers (total in 4 papers)

Cauchy Problem for Elliptic Systems in the Space Rm

O. I. Makhmudov

A. Navoi Samarkand State University
Full-text PDF (210 kB) Citations (4)
References:
Abstract: In this paper, we investigate the analytic continuation of the solution of the system of Lamé equations in a bounded space domain from the values of the solution and the stress values on part of the boundary of this domain, i.e., a Cauchy problem is studied. We construct an approximate solution of this problem based on the Carleman matrix method. system of elliptic differential equations
Received: 21.05.2002
English version:
Mathematical Notes, 2004, Volume 75, Issue 6, Pages 794–804
DOI: https://doi.org/10.1023/B:MATN.0000030989.78008.a7
Bibliographic databases:
UDC: 517.946
Language: Russian
Citation: O. I. Makhmudov, “Cauchy Problem for Elliptic Systems in the Space Rm”, Mat. Zametki, 75:6 (2004), 849–860; Math. Notes, 75:6 (2004), 794–804
Citation in format AMSBIB
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\by O.~I.~Makhmudov
\paper Cauchy Problem for Elliptic Systems in the Space $\mathbb R^m$
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\issue 6
\pages 849--860
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\transl
\jour Math. Notes
\yr 2004
\vol 75
\issue 6
\pages 794--804
\crossref{https://doi.org/10.1023/B:MATN.0000030989.78008.a7}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000222492400023}
Linking options:
  • https://www.mathnet.ru/eng/mzm76
  • https://doi.org/10.4213/mzm76
  • https://www.mathnet.ru/eng/mzm/v75/i6/p849
  • This publication is cited in the following 4 articles:
    1. Makhmudo K.O., Makhmudov O.I., Tarkhanov N., “Equations of Maxwell type”, J Math Anal Appl, 378:1 (2011), 64–75  crossref  mathscinet  zmath  isi  scopus  scopus
    2. E. V. Arbuzov, A. L. Bukhgeim, “O reshenii zadachi Koshi dlya ellipticheskikh uravnenii vtorogo poryadka na ploskosti s pomoschyu integralnogo operatora Koshi”, Sib. elektron. matem. izv., 7 (2010), 173–177  mathnet
    3. E. V. Arbuzov, A. L. Bukhgeim, “Formula Karlemana dlya sistemy uravnenii elektrodinamiki na ploskosti [Itogovyi nauchnyi otchet po mezhdistsiplinarnomu integratsionnomu proektu SO RAN: “Razrabotka teorii i vychislitelnoi tekhnologii resheniya obratnykh i ekstremalnykh zadach s prilozheniem v matematicheskoi fizike i gravimagnitorazvedke”]”, Sib. elektron. matem. izv., 5 (2008), 448–455  mathnet  mathscinet
    4. È. V. Arbuzov, A. L. Bukhgeim, “The Carleman formula for the Helmholtz equation on the plane”, Siberian Math. J., 47:3 (2006), 425–432  mathnet  crossref  mathscinet  zmath  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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