Sibirskii Zhurnal Industrial'noi Matematiki
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


Sib. Zh. Ind. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Zhurnal Industrial'noi Matematiki, 2012, Volume 15, Number 2, Pages 86–98 (Mi sjim728)  
This article is cited in 12 scientific papers (total in 12 papers)

On polynomial solutions to the Dirichlet problem for a biharmonic equation in a ball

V. V. Karachik, N. A. Antropova

South Ural State University, Chelyabinsk, Russia
Full-text PDF (250 kB) Citations (12)
References:
PDF
HTML
Abstract: We find a polynomial solution to the Dirichlet problem for an inhomogeneous biharmonic equation with polynomial right-hand side and polynomial boundary data in the unit ball. We use an explicit representation of harmonic functions in the Almansi formula.
Keywords: biharmonic equation, harmonic polynomials, Dirichlet problem, polynomial solutions, Almansi formula.
Received: 08.07.2011
Bibliographic databases:
Document Type: Article
UDC: 517.956.225+517.575
Language: Russian
Citation: V. V. Karachik, N. A. Antropova, “On polynomial solutions to the Dirichlet problem for a biharmonic equation in a ball”, Sib. Zh. Ind. Mat., 15:2 (2012), 86–98
Citation in format AMSBIB
\Bibitem{KarAnt12}
\by V.~V.~Karachik, N.~A.~Antropova
\paper On polynomial solutions to the Dirichlet problem for a~biharmonic equation in a~ball
\jour Sib. Zh. Ind. Mat.
\yr 2012
\vol 15
\issue 2
\pages 86--98
\mathnet{http://mi.mathnet.ru/sjim728}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3099837}
Linking options:
  • https://www.mathnet.ru/eng/sjim728
  • https://www.mathnet.ru/eng/sjim/v15/i2/p86
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
    Statistics & downloads:
    Abstract page:457
    Full-text PDF :156
    References:59
    First page:9
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024