RUS
ENG
Full version
JOURNALS
// Matematicheskie Trudy
// Archive
Mat. Tr.,
2021
Volume 24,
Number 2,
Pages
46–64
(Mi mt650)
Solution to the Dirichlet problem for the polyharmonic equation in a ball
V. V. Karachik
South Ural State University, Chelyabinsk
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.
UDC:
517.956.223
+
517.575
Received:
05.05.2021
Revised:
04.08.2021
Accepted:
30.08.2021
DOI:
10.33048/mattrudy.2021.24.204
Fulltext:
PDF file (238 kB)
References
©
Steklov Math. Inst. of RAS
, 2026
Fulltext:
PDF file (238 kB)