Geodesic
Carleman's formula of a solutions of the Poisson equation in bounded domain
Ural mathematical journal, Tome 7 (2021) no. 2, pp. 110-120

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

We suggest an explicit continuation formula for a solution to the Cauchy problem for the Poisson equation in a domain from its values and values of its normal derivative on a part of the boundary. We construct the continuation formula of this problem based on the Carleman-Yarmuhamedov function method.
Keywords: ill-posed problem, regular solution, Carleman–Yarmuhamedov function, Green's formula, Mittag–Leffler entire function.
Mots-clés : Poisson equations, Carleman formula 
@article{UMJ_2021_7_2_a7,
     author = {Ermamat N. Sattorov and Zuxro E. Ermamatova},
     title = {Carleman's formula of a solutions of the {Poisson} equation in bounded domain},
     journal = {Ural mathematical journal},
     pages = {110--120},
     publisher = {mathdoc},
     volume = {7},
     number = {2},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UMJ_2021_7_2_a7/}
}
TY  - JOUR
AU  - Ermamat N. Sattorov
AU  - Zuxro E. Ermamatova
TI  - Carleman's formula of a solutions of the Poisson equation in bounded domain
JO  - Ural mathematical journal
PY  - 2021
SP  - 110
EP  - 120
VL  - 7
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UMJ_2021_7_2_a7/
LA  - en
ID  - UMJ_2021_7_2_a7
ER  - 
%0 Journal Article
%A Ermamat N. Sattorov
%A Zuxro E. Ermamatova
%T Carleman's formula of a solutions of the Poisson equation in bounded domain
%J Ural mathematical journal
%D 2021
%P 110-120
%V 7
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UMJ_2021_7_2_a7/
%G en
%F UMJ_2021_7_2_a7
Ermamat N. Sattorov; Zuxro E. Ermamatova. Carleman's formula of a solutions of the Poisson equation in bounded domain. Ural mathematical journal, Tome 7 (2021) no. 2, pp. 110-120. http://geodesic.mathdoc.fr/item/UMJ_2021_7_2_a7/