Sbornik: Mathematics
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. Sb.:
Year:
Volume:
Issue:
Page:
Find






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


Sbornik: Mathematics, 2007, Volume 198, Issue 5, Pages 639–660
DOI: https://doi.org/10.1070/SM2007v198n05ABEH003853
(Mi sm1556)
 

This article is cited in 18 scientific papers (total in 18 papers)

$L_1$$L_\infty$ estimates of solutions of the Cauchy problem for an anisotropic degenerate parabolic equation with double non-linearity and growing initial data

S. P. Degtyarev, A. F. Tedeev

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences
References:
Abstract: The Cauchy problem for a degenerate parabolic equation with anisotropic $p$-Laplacian and double non-linearity is considered. For increasing initial data local estimates for the $L_\infty$-norm of a solution are obtained, which yield a precise characterization of the growth of solutions at infinity. An estimate for the order of the length of the time interval on which a solution is defined is found in its dependence on the initial data.
Bibliography: 12 titles.
Received: 10.04.2006 and 15.12.2006
Russian version:
Matematicheskii Sbornik, 2007, Volume 198, Number 5, Pages 45–66
DOI: https://doi.org/10.4213/sm1556
Bibliographic databases:
UDC: 517.956.45
MSC: 35K55, 35K65, 35B45
Language: English
Original paper language: Russian
Citation: S. P. Degtyarev, A. F. Tedeev, “$L_1$$L_\infty$ estimates of solutions of the Cauchy problem for an anisotropic degenerate parabolic equation with double non-linearity and growing initial data”, Mat. Sb., 198:5 (2007), 45–66; Sb. Math., 198:5 (2007), 639–660
Citation in format AMSBIB
\Bibitem{DegTed07}
\by S.~P.~Degtyarev, A.~F.~Tedeev
\paper $L_1$--$L_\infty$ estimates of solutions of the Cauchy
problem for an anisotropic degenerate parabolic equation with double
non-linearity and growing initial data
\jour Mat. Sb.
\yr 2007
\vol 198
\issue 5
\pages 45--66
\mathnet{http://mi.mathnet.ru/sm1556}
\crossref{https://doi.org/10.4213/sm1556}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2354286}
\zmath{https://zbmath.org/?q=an:1160.35453}
\elib{https://elibrary.ru/item.asp?id=9512210}
\transl
\jour Sb. Math.
\yr 2007
\vol 198
\issue 5
\pages 639--660
\crossref{https://doi.org/10.1070/SM2007v198n05ABEH003853}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000249041900003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34548567834}
Linking options:
  • https://www.mathnet.ru/eng/sm1556
  • https://doi.org/10.1070/SM2007v198n05ABEH003853
  • https://www.mathnet.ru/eng/sm/v198/i5/p45
  • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:628
    Russian version PDF:250
    English version PDF:22
    References:66
    First page:7
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024