Journal of Siberian Federal University. Mathematics & Physics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


J. Sib. Fed. Univ. Math. Phys.:
Year:
Volume:
Issue:
Page:
Find




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

Journal of Siberian Federal University. Mathematics & Physics, 2019, Volume 12, Issue 3, Pages 298–309
DOI: https://doi.org/10.17516/1997-1397-2019-12-3-298-309 (Mi jsfu759) 		 
On uniqueness and continuous dependence on the initial data of the solution of a system of two loaded parabolic equations with the Cauchy data

Igor V. Frolenkov, Irina S. Antipina, Natalya M. Terskikh

Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
Full-text PDF (128 kB)
References:
PDF
HTML
DOI: https://doi.org/10.17516/1997-1397-2019-12-3-298-309
Abstract: We study the Cauchy problem for the system of one-dimensional loaded parabolic equations. Uniqueness and continuous dependence of solutions on the initial data in the class of smooth bounded functions is proved.
Keywords: loaded equation, system of parabolic equation, weak approximation method, Cauchy problem, uniqueness, continuous dependence of the solution on the initial data.
Received: 17.01.2019
Received in revised form: 25.01.2019
Accepted: 03.02.2019
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: Igor V. Frolenkov, Irina S. Antipina, Natalya M. Terskikh, “On uniqueness and continuous dependence on the initial data of the solution of a system of two loaded parabolic equations with the Cauchy data”, J. Sib. Fed. Univ. Math. Phys., 12:3 (2019), 298–309
Citation in format AMSBIB
\Bibitem{FroAntTer19}
\by Igor~V.~Frolenkov, Irina~S.~Antipina, Natalya~M.~Terskikh
\paper On uniqueness and continuous dependence on the initial data of the solution of a system of two loaded parabolic equations with the Cauchy data
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2019
\vol 12
\issue 3
\pages 298--309
\mathnet{http://mi.mathnet.ru/jsfu759}
\crossref{https://doi.org/10.17516/1997-1397-2019-12-3-298-309}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000471028500004}
Linking options:
  • https://www.mathnet.ru/eng/jsfu759
  • https://www.mathnet.ru/eng/jsfu/v12/i3/p298
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал Сибирского федерального университета. Серия "Математика и физика"
    Statistics & downloads:
    Abstract page:350
    Full-text PDF :35
    References:14
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024