Dirichlet and Neumann Boundary Value Problems for the Polyharmonic Equation in the Unit Ball
In the previous author’s works, a representation of the solution of the Dirichlet boundary value problem for the biharmonic equation in terms of Green’s function is found, and then it is shown that this representation for a ball can be written in the form of the well-known Almansi formula with expli...
Main Author: | Valery Karachik |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2021-08-01
|
Series: | Mathematics |
Subjects: | |
Online Access: | https://www.mdpi.com/2227-7390/9/16/1907 |
Similar Items
-
Iterated Dirichlet problem for the higher order Poisson equation
by: H. Begehr, et al.
Published: (2008-05-01) -
Dirichlet and Neumann Problems for String Equation, Poncelet Problem and Pell-Abel Equation
by: Vladimir P. Burskii, et al.
Published: (2006-04-01) -
Recovering a time- and space-dependent kernel in a hyperbolic integro-differential equation from a restricted Dirichlet-to-Neumann Operator
by: Jaan Janno
Published: (2004-05-01) -
Existence of continuous positive solutions for some nonlinear polyharmonic systems outside the unit ball
by: Sameh Turki
Published: (2011-06-01) -
Solvability of some Neumann-type boundary value problems for biharmonic equations
by: Valery Karachik, et al.
Published: (2017-09-01)