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
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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/