Mathematics of the USSR-Izvestiya
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


Mathematics of the USSR-Izvestiya, 1973, Volume 7, Issue 3, Pages 675–689
DOI: https://doi.org/10.1070/IM1973v007n03ABEH001970
(Mi im2286)
 

An investigation of the behavior of $L_2$-norms of the solutions of strongly parabolic systems with dissipation

S. D. Èidel'man, F. O. Porper
References:
Abstract: It is established under certain interrelations between the growth of the initial function and the dissipation intensity that an increasing solution becomes with the passage of time a bounded and ultimately decreasing function of the spatial coordinates. The behavior of $L_2$-norms (containing weights depending in a special manner on the time $t$) of the solutions is investigated for this purpose. The results are essentially based on inequalities established in the paper between the norms and quasinorms introduced and which, in our view, are of independent interest.
Received: 03.12.1970
Bibliographic databases:
UDC: 517.9
MSC: Primary 35B35, 35K45; Secondary 35C15
Language: English
Original paper language: Russian
Citation: S. D. Èidel'man, F. O. Porper, “An investigation of the behavior of $L_2$-norms of the solutions of strongly parabolic systems with dissipation”, Math. USSR-Izv., 7:3 (1973), 675–689
Citation in format AMSBIB
\Bibitem{EidPor73}
\by S.~D.~\`Eidel'man, F.~O.~Porper
\paper An investigation of the behavior of $L_2$-norms of the solutions of strongly parabolic systems with dissipation
\jour Math. USSR-Izv.
\yr 1973
\vol 7
\issue 3
\pages 675--689
\mathnet{http://mi.mathnet.ru//eng/im2286}
\crossref{https://doi.org/10.1070/IM1973v007n03ABEH001970}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=340822}
\zmath{https://zbmath.org/?q=an:0277.35063}
Linking options:
  • https://www.mathnet.ru/eng/im2286
  • https://doi.org/10.1070/IM1973v007n03ABEH001970
  • https://www.mathnet.ru/eng/im/v37/i3/p676
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:229
    Russian version PDF:75
    English version PDF:4
    References:36
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024