4-harmonic equation, Green's function, Dirichlet-2 problem, integral representation
Abstract
This paper discusses the construction of the Green's function for the Dirichlet-2 boundary value problem for the 4-harmonic equation in a single ball. The boundary conditions of this problem are a combination of those for the Navier and Navier–Neumann problems. An integral representation of the solution to this problem is provided, both through the found Green's function and its representation that does not explicitly include the Green's function.
Author Biography
Valeriy Valentinovich Karachik, South Ural State University, Chelyabinsk
