Geodesic
Solutions of the Loewner equation with an initial condition at the boundary of a circle
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2011), pp. 20-24

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

In this paper, the behavior of solutions of the Loewner equation with an initial condition at the boundary of a circle is investigated. Conditions at which the solutions have the modulus greater or smaller than the unity are found.
Keywords: solution of the Loewner equation, initial condition, vector of the principal normal, sign of the mixed product. 
G. D. Sadritdinova. Solutions of the Loewner equation with an initial condition at the boundary of a circle. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2011), pp. 20-24. http://geodesic.mathdoc.fr/item/VTGU_2011_2_a2/
@article{VTGU_2011_2_a2,
     author = {G. D. Sadritdinova},
     title = {Solutions of the {Loewner} equation with an initial condition at the boundary of a~circle},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {20--24},
     year = {2011},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2011_2_a2/}
}
TY  - JOUR
AU  - G. D. Sadritdinova
TI  - Solutions of the Loewner equation with an initial condition at the boundary of a circle
JO  - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
PY  - 2011
SP  - 20
EP  - 24
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VTGU_2011_2_a2/
LA  - ru
ID  - VTGU_2011_2_a2
ER  - 
%0 Journal Article
%A G. D. Sadritdinova
%T Solutions of the Loewner equation with an initial condition at the boundary of a circle
%J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
%D 2011
%P 20-24
%N 2
%U http://geodesic.mathdoc.fr/item/VTGU_2011_2_a2/
%G ru
%F VTGU_2011_2_a2

[1] Aleksandrov I. A., Parametricheskie prodolzheniya v teorii odnolistnykh funktsii, Nauka, M., 1976 | MR

[2] I. A. Aleksandrov (red.), Trudy P. P. Kufareva, K 100-letiyu so dnya rozhdeniya, Izd-vo NTL, Tomsk, 2009, 64–74