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, 1997, Volume 188, Issue 1, Pages 87–113
DOI: https://doi.org/10.1070/sm1997v188n01ABEH000189 (Mi sm189) 		 
An approximation scheme for measure-valued solutions of a first-order quasilinear equation

E. Yu. Panov

Novgorod State University after Yaroslav the Wise
English version PDF (304 kB)
References:
PDF
HTML
DOI: https://doi.org/10.1070/sm1997v188n01ABEH000189
Abstract: A kinetic definition of a measure-valued solution of the Cauchy problem for a first-order quasilinear equation is presented. Using a suitable approximation of the right-hand side of the corresponding kinetic equation a family of equations is constructed. The unique solubility of Cauchy problems for these equations and the convergence (after possibly going over to a subsequence) of the resulting sequence of solutions to a generalized solution of the original problem are established.
Received: 06.02.1996
Russian version:
Matematicheskii Sbornik, 1997, Volume 188, Number 1, Pages 83–108
DOI: https://doi.org/10.4213/sm189
Bibliographic databases:
UDC: 517.95
MSC: 35D99, 35F20
Language: English
Original paper language: Russian
Citation: E. Yu. Panov, “An approximation scheme for measure-valued solutions of a first-order quasilinear equation”, Mat. Sb., 188:1 (1997), 83–108; Sb. Math., 188:1 (1997), 87–113
Citation in format AMSBIB
\Bibitem{Pan97}
\by E.~Yu.~Panov
\paper An approximation scheme for measure-valued solutions of a~first-order quasilinear equation
\jour Mat. Sb.
\yr 1997
\vol 188
\issue 1
\pages 83--108
\mathnet{http://mi.mathnet.ru/sm189}
\crossref{https://doi.org/10.4213/sm189}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1453253}
\zmath{https://zbmath.org/?q=an:0992.65112}
\transl
\jour Sb. Math.
\yr 1997
\vol 188
\issue 1
\pages 87--113
\crossref{https://doi.org/10.1070/sm1997v188n01ABEH000189}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1997XE98900005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0031287030}
Linking options:
  • https://www.mathnet.ru/eng/sm189
  • https://doi.org/10.1070/sm1997v188n01ABEH000189
  • https://www.mathnet.ru/eng/sm/v188/i1/p83
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:365
    Russian version PDF:192
    English version PDF:17
    References:66
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024