Matematicheskie Trudy
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



Mat. Tr.:
Year:
Volume:
Issue:
Page:
Find






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


Matematicheskie Trudy, 2002, Volume 5, Number 2, Pages 38–91 (Mi mt108)  

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

Regularity of a Solution to the Multidimensional Free Boundary Problem for the Porous Medium Equation

B. V. Bazalii, N. V. Krasnoshchek

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences
References:
Abstract: The regularity properties of solutions to the initial boundary value problem with free boundary for the nonlinear degenerate equation $u_t=\Delta(u^m)$, $m>1$, are studied in the multi-dimensional case. The condition $u=0$ holds on the free boundary whose velocity obeys the Darcy law. The differential properties of the free boundary are established in dependence on the smoothness of the initial data.
Key words: porous medium equation, free boundary, regularity of solution, Green function.
Received: 17.12.2001
Bibliographic databases:
UDC: 517.946
Language: Russian
Citation: B. V. Bazalii, N. V. Krasnoshchek, “Regularity of a Solution to the Multidimensional Free Boundary Problem for the Porous Medium Equation”, Mat. Tr., 5:2 (2002), 38–91; Siberian Adv. Math., 13:3 (2003), 1–53
Citation in format AMSBIB
\Bibitem{BazKra02}
\by B.~V.~Bazalii, N.~V.~Krasnoshchek
\paper Regularity of a~Solution to the~Multidimensional Free Boundary Problem for the~Porous Medium Equation
\jour Mat. Tr.
\yr 2002
\vol 5
\issue 2
\pages 38--91
\mathnet{http://mi.mathnet.ru/mt108}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1944066}
\zmath{https://zbmath.org/?q=an:1013.76093}
\elib{https://elibrary.ru/item.asp?id=9532588}
\transl
\jour Siberian Adv. Math.
\yr 2003
\vol 13
\issue 3
\pages 1--53
Linking options:
  • https://www.mathnet.ru/eng/mt108
  • https://www.mathnet.ru/eng/mt/v5/i2/p38
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические труды Siberian Advances in Mathematics
    Statistics & downloads:
    Abstract page:751
    Full-text PDF :170
    References:81
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024