Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.:
Year:
Volume:
Issue:
Page:
Find




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

Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2011, Issue 5, Pages 39–50 (Mi vyurm237)  
Mathematics

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

V. V. Karachik, N. A. Antropova

South Ural State University
Full-text PDF (334 kB)
References:
PDF
HTML
Abstract: Polynomial solution to the Dirihlet problem for the nonhomogeneous biharmonic equation with polynomial right hand side and polynomial boundary data in a ball is constructed. Explicit representation of harmonic functions in the Almansi representation is used.
Keywords: biharmonic equation, polynomial solutions, Dirichlet problem, Almansi equation.
Received: 01.10.2011
Bibliographic databases:
Document Type: Article
UDC: 517.956.225+517.575
Language: Russian
Citation: V. V. Karachik, N. A. Antropova, “Construction of polynomial solutions to the Dirichlet problem for the biharmonic equation in a ball”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2011, no. 5, 39–50
Citation in format AMSBIB
\Bibitem{KarAnt11}
\by V.~V.~Karachik, N.~A.~Antropova
\paper Construction of polynomial solutions to the Dirichlet problem for the biharmonic equation in a ball
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2011
\issue 5
\pages 39--50
\mathnet{http://mi.mathnet.ru/vyurm237}
\elib{https://elibrary.ru/item.asp?id=16950172}
Linking options:
  • https://www.mathnet.ru/eng/vyurm237
  • https://www.mathnet.ru/eng/vyurm/y2011/i5/p39
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:126
    Full-text PDF :50
    References:36
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024