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, 2021, Volume 24, Number 2, Pages 46–64
DOI: https://doi.org/10.33048/mattrudy.2021.24.204 (Mi mt650) 		 
Solution to the Dirichlet problem for the polyharmonic equation in a ball

V. V. Karachik

South Ural State University, Chelyabinsk
Full-text PDF (238 kB)
References:
PDF
HTML
DOI: https://doi.org/10.33048/mattrudy.2021.24.204
Abstract: We give a representation of the solution to the Dirichlet problem for the inhomogeneous polyharmonic equation in the unit ball in terms of solutions to the Dirichlet problem for the Laplace equation.
Key words: polyharmonic equation, Dirichlet problem, Green's function, Almansi representation.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.A03.21.0011
Received: 05.05.2021
Revised: 04.08.2021
Accepted: 30.08.2021
Document Type: Article
UDC: 517.956.223+517.575
Language: Russian
Citation: V. V. Karachik, “Solution to the Dirichlet problem for the polyharmonic equation in a ball”, Mat. Tr., 24:2 (2021), 46–64
Citation in format AMSBIB
\Bibitem{Kar21}
\by V.~V.~Karachik
\paper Solution to the Dirichlet problem for the polyharmonic equation in a~ball
\jour Mat. Tr.
\yr 2021
\vol 24
\issue 2
\pages 46--64
\mathnet{http://mi.mathnet.ru/mt650}
\crossref{https://doi.org/10.33048/mattrudy.2021.24.204}
Linking options:
  • https://www.mathnet.ru/eng/mt650
  • https://www.mathnet.ru/eng/mt/v24/i2/p46
    • 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:230
    Full-text PDF :98
    References:62
    First page:15
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024