Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.:
Year:
Volume:
Issue:
Page:
Find






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


Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1983, Number 3, Pages 20–24 (Mi vmumm3487)  

This article is cited in 1 scientific paper (total in 2 paper)

Mathematics

The heat equation in a medium with nonuniformly distributed nonlinear heat sources or absorbers

A. S. Kalashnikov
Full-text PDF (611 kB) Citations (2)
Abstract: For a heat conduction equation with non-linear sources whose action intensifies at infinity, it is proved that the Cauchy problem has no locally bounded solution in any time interval. In the case of non-linear heat absorption decaying at infinity, necessary and sufficient conditions are found for instantaneous compactification of the support of the solution for the Cauchy problem.
Received: 10.11.1982
Bibliographic databases:
Document Type: Article
UDC: 517.356+517.958
Language: Russian
Citation: A. S. Kalashnikov, “The heat equation in a medium with nonuniformly distributed nonlinear heat sources or absorbers”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 3, 20–24
Citation in format AMSBIB
\Bibitem{Kal83}
\by A.~S.~Kalashnikov
\paper The heat equation in a medium with nonuniformly distributed nonlinear heat sources or absorbers
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 1983
\issue 3
\pages 20--24
\mathnet{http://mi.mathnet.ru/vmumm3487}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0705595}
\zmath{https://zbmath.org/?q=an:0523.35060}
Linking options:
  • https://www.mathnet.ru/eng/vmumm3487
  • https://www.mathnet.ru/eng/vmumm/y1983/i3/p20
  • 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
    Statistics & downloads:
    Abstract page:59
    Full-text PDF :25
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024