Journal of Siberian Federal University. Mathematics & Physics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



J. Sib. Fed. Univ. Math. Phys.:
Year:
Volume:
Issue:
Page:
Find






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


Journal of Siberian Federal University. Mathematics & Physics, 2012, Volume 5, Issue 4, Pages 527–546 (Mi jsfu266)  

This article is cited in 9 scientific papers (total in 9 papers)

Polynomial solutions to Dirihlet boundary value problem for the $3$-harmonic equation in a ball

Valery V. Karachik

South Ural State University, Chelyabinsk, Russia
Full-text PDF (248 kB) Citations (9)
References:
Abstract: Polynomial solution to Dirihlet boundary value problem for the nonhomogeneous $3$-harmonic equation in a ball with polynomial right-hand side and polynomial boundary data is found.
Keywords: $3$-harmonic equation, Almansi decomposition, harmonic polynomials, Dirihlet boundary value problem, polynomial solutions.
Received: 21.03.2012
Received in revised form: 01.04.2012
Accepted: 21.06.2012
Document Type: Article
UDC: 513.88
Language: Russian
Citation: Valery V. Karachik, “Polynomial solutions to Dirihlet boundary value problem for the $3$-harmonic equation in a ball”, J. Sib. Fed. Univ. Math. Phys., 5:4 (2012), 527–546
Citation in format AMSBIB
\Bibitem{Kar12}
\by Valery~V.~Karachik
\paper Polynomial solutions to Dirihlet boundary value problem for the $3$-harmonic equation in a~ball
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2012
\vol 5
\issue 4
\pages 527--546
\mathnet{http://mi.mathnet.ru/jsfu266}
Linking options:
  • https://www.mathnet.ru/eng/jsfu266
  • https://www.mathnet.ru/eng/jsfu/v5/i4/p527
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал Сибирского федерального университета. Серия "Математика и физика"
    Statistics & downloads:
    Abstract page:425
    Full-text PDF :194
    References:77
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024