Geodesic
On integral representation of functions for a second order singular elliptic operator
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 39 (2012) no. 1, pp. 119-120.

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

For a second order $B$-elliptic operator with singularities by several variables, we receive Green's formula and integral representation of smooth functions. The maximum principle and uniqueness of a classical solution of the Dirichlet problem for such operators are established.
Keywords: $B$-elliptic operator, Green's formula, maximum principle. 
@article{IIMI_2012_39_1_a56,
     author = {A. Yu. Sazonov and Yu. G. Fomicheva},
     title = {On integral representation of functions for a second order singular elliptic operator},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
     pages = {119--120},
     publisher = {mathdoc},
     volume = {39},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a56/}
}
TY  - JOUR
AU  - A. Yu. Sazonov
AU  - Yu. G. Fomicheva
TI  - On integral representation of functions for a second order singular elliptic operator
JO  - Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
PY  - 2012
SP  - 119
EP  - 120
VL  - 39
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a56/
LA  - ru
ID  - IIMI_2012_39_1_a56
ER  - 
%0 Journal Article
%A A. Yu. Sazonov
%A Yu. G. Fomicheva
%T On integral representation of functions for a second order singular elliptic operator
%J Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
%D 2012
%P 119-120
%V 39
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a56/
%G ru
%F IIMI_2012_39_1_a56
A. Yu. Sazonov; Yu. G. Fomicheva. On integral representation of functions for a second order singular elliptic operator. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 39 (2012) no. 1, pp. 119-120. http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a56/

[1] Levitan B.M., “Razlozhenie po funktsiyam Besselya v ryady i integraly Fure”, UMN, 6:2 (1951), 102–143 | MR | Zbl

[2] Sazonov A.Yu., Fomicheva Yu.G., “O edinstvennosti klassicheskogo resheniya pervoi kraevoi zadachi dlya ellipticheskogo uravneniya, vyrozhdayuschegosya na giperploskostyakh”, Vestnik Tambovskogo universiteta. Seriya Estestvennye i tekhnicheskie nauki, 13:1 (2008), 36–38