Geodesic
Polynomial solutions to Dirihlet boundary value problem for the $3$-harmonic equation in a~ball
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 4, pp. 527-546

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: $3$-harmonic equation, harmonic polynomials, Dirihlet boundary value problem
Mots-clés : Almansi decomposition, polynomial solutions. 
@article{JSFU_2012_5_4_a9,
     author = {Valery V. Karachik},
     title = {Polynomial solutions to {Dirihlet} boundary value problem for the $3$-harmonic equation in a~ball},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {527--546},
     publisher = {mathdoc},
     volume = {5},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2012_5_4_a9/}
}
TY  - JOUR
AU  - Valery V. Karachik
TI  - Polynomial solutions to Dirihlet boundary value problem for the $3$-harmonic equation in a~ball
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2012
SP  - 527
EP  - 546
VL  - 5
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2012_5_4_a9/
LA  - ru
ID  - JSFU_2012_5_4_a9
ER  - 
%0 Journal Article
%A Valery V. Karachik
%T Polynomial solutions to Dirihlet boundary value problem for the $3$-harmonic equation in a~ball
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2012
%P 527-546
%V 5
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2012_5_4_a9/
%G ru
%F JSFU_2012_5_4_a9
Valery V. Karachik. Polynomial solutions to Dirihlet boundary value problem for the $3$-harmonic equation in a~ball. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 4, pp. 527-546. http://geodesic.mathdoc.fr/item/JSFU_2012_5_4_a9/