Asymptotics of solutions of the Dirichlet problem for the Laplace equation in the half-space
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 187 (2020), pp. 44-49.

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

This paper is devoted to the study of the asymptotic behavior of the solution of the Dirichlet problem for the Laplace equation in the half-space $E^{N+1}_+ \equiv \{{x,y: x \in E^N, y>0}\}$ for large values of the variable $y$.
Keywords: Dirichlet problem, half-space, asymptotic behavior of solution.
@article{INTO_2020_187_a5,
     author = {P. V. Denisov},
     title = {Asymptotics of solutions of the {Dirichlet} problem for the {Laplace} equation in the half-space},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {44--49},
     publisher = {mathdoc},
     volume = {187},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_187_a5/}
}
TY  - JOUR
AU  - P. V. Denisov
TI  - Asymptotics of solutions of the Dirichlet problem for the Laplace equation in the half-space
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2020
SP  - 44
EP  - 49
VL  - 187
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/INTO_2020_187_a5/
LA  - ru
ID  - INTO_2020_187_a5
ER  - 
%0 Journal Article
%A P. V. Denisov
%T Asymptotics of solutions of the Dirichlet problem for the Laplace equation in the half-space
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2020
%P 44-49
%V 187
%I mathdoc
%U http://geodesic.mathdoc.fr/item/INTO_2020_187_a5/
%G ru
%F INTO_2020_187_a5
P. V. Denisov. Asymptotics of solutions of the Dirichlet problem for the Laplace equation in the half-space. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 187 (2020), pp. 44-49. http://geodesic.mathdoc.fr/item/INTO_2020_187_a5/

[4] Denisov V. N., “Ob asimptotike pri bolshom vremeni resheniya zadachi Koshi dlya uravneniya teploprovodnosti”, Dokl. RAN., 351:6 (1995), 736–738

[5] Kurant R., Gilbert D., Metody matematicheskoi fiziki, v. 2, GTTI, M.-L., 1945

[6] Nikolskii S. M., Kurs matematicheskogo analiza, Nauka, M., 1983, 1984

[7] Sobolev S. L., Uravneniya matematicheskoi fiziki, M., 1966 | MR

[8] Khardi G., Raskhodyaschiesya ryady, M., 1951