Journal of Siberian Federal University. Mathematics & Physics: Polynomial Solutions to Dirihlet Boundary Value Problem for the 3-harmonic Equation in a Ball

Journal of Siberian Federal University. Mathematics & Physics / Polynomial Solutions to Dirihlet Boundary Value Problem for the 3-harmonic Equation in a Ball

Issue: Journal of Siberian Federal University. Mathematics & Physics. 2012 5 (4)
Authors: Karachik, Valery V.
Contact information: Karachik, Valery V. : e-mail:
Keywords: 3-harmonic equation; Almansi decomposition; harmonic polynomials; Dirihlet boundary value problem; polynomial solutions
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.
Pages: 527-546
Paper at repository of SibFU: https://elib.sfu-kras.ru/handle/2311/3109