Loading [MathJax]/jax/output/SVG/config.js
Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2010, Volume 88, Issue 6, Pages 924–934
DOI: https://doi.org/10.4213/mzm7704 (Mi mzm7704) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the Fiber Structure of Symmetry Invariance Sets of Solutions to Quasilinear Equations

N. A. Shananin

State University of Management
Full-text PDF (497 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm7704
Abstract: Known results about the unique continuation of solutions of anisotropic linear and weakly nonlinear differential equations and the extension of the invariance property of these solutions are applied to prove theorems about the fiberwise quasianalyticity and the fiber structure of sets of symmetry invariance of solutions to quasilinear equations.
Keywords: symmetry invariance, quasilinear equation, weakly nonlinearity, solution continuation, quasianalyticity, weighted derivative, germ of solution.
Received: 30.03.2009
English version:
Mathematical Notes, 2010, Volume 88, Issue 6, Pages 879–887
DOI: https://doi.org/10.1134/S0001434610110283
Bibliographic databases:
Document Type: Article
UDC: 517.85
Language: Russian
Citation: N. A. Shananin, “On the Fiber Structure of Symmetry Invariance Sets of Solutions to Quasilinear Equations”, Mat. Zametki, 88:6 (2010), 924–934; Math. Notes, 88:6 (2010), 879–887
Citation in format AMSBIB
\Bibitem{Sha10}
\by N.~A.~Shananin
\paper On the Fiber Structure of Symmetry Invariance Sets of Solutions to Quasilinear Equations
\jour Mat. Zametki
\yr 2010
\vol 88
\issue 6
\pages 924--934
\mathnet{http://mi.mathnet.ru/mzm7704}
\crossref{https://doi.org/10.4213/mzm7704}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2868415}
\transl
\jour Math. Notes
\yr 2010
\vol 88
\issue 6
\pages 879--887
\crossref{https://doi.org/10.1134/S0001434610110283}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000288489700028}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78651225940}
Linking options:
  • https://www.mathnet.ru/eng/mzm7704
  • https://doi.org/10.4213/mzm7704
  • https://www.mathnet.ru/eng/mzm/v88/i6/p924
    • This publication is cited in the following 2 articles:
    1. N. A. Shananin, “On the Unique Continuation along Curves of Germs of Solutions to Linear Differential Equations with Constant Coefficients”, Math. Notes, 102:1 (2017), 128–132  mathnet  crossref  crossref  mathscinet  isi  elib
    2. N. A. Shananin, “On the Unique Continuation of the Germs of Solutions of First-Order Differential Equations along Curves”, Math. Notes, 102:6 (2017), 855–866  mathnet  crossref  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:436
    Full-text PDF :192
    References:63
    First page:7
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025