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, 2011, Volume 75, Issue 5, Pages 871–887
DOI: https://doi.org/10.1070/IM2011v075n05ABEH002556 (Mi im4079) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the Cauchy problem for a Sobolev-type equation with quadratic non-linearity

A. I. Aristov
English version PDF (271 kB) Citations (2) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM2011v075n05ABEH002556
Abstract: We investigate the asymptotic behaviour as $t\to\infty$ of the solution of the Cauchy problem for a Sobolev-type equation with quadratic non-linearity and develop ideas used by I. A. Shishmarev and other authors in the study of classical and Sobolev-type equations. Conditions are found under which it is possible to consider the case of an arbitrary dimension of the spatial variable.
Keywords: non-linear partial differential equations, Sobolev-type equations, asymptotic behaviour of solutions, perturbation theory.
Received: 26.01.2009
Revised: 05.05.2010
Bibliographic databases:
Document Type: Article
UDC: 517.955.8
MSC: Primary 35C20; Secondary 35K60, 76B15
Language: English
Original paper language: Russian
Citation: A. I. Aristov, “On the Cauchy problem for a Sobolev-type equation with quadratic non-linearity”, Izv. Math., 75:5 (2011), 871–887
Citation in format AMSBIB
\Bibitem{Ari11}
\by A.~I.~Aristov
\paper On the Cauchy problem for a~Sobolev-type equation with quadratic non-linearity
\jour Izv. Math.
\yr 2011
\vol 75
\issue 5
\pages 871--887
\mathnet{http://mi.mathnet.ru/eng/im4079}
\crossref{https://doi.org/10.1070/IM2011v075n05ABEH002556}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2884660}
\zmath{https://zbmath.org/?q=an:1230.35017}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2011IzMat..75..871A}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000296665700001}
\elib{https://elibrary.ru/item.asp?id=20358807}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80555123671}
Linking options:
  • https://www.mathnet.ru/eng/im4079
  • https://doi.org/10.1070/IM2011v075n05ABEH002556
  • https://www.mathnet.ru/eng/im/v75/i5/p3
    • This publication is cited in the following 2 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:843
    Russian version PDF:224
    English version PDF:35
    References:117
    First page:35
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025