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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     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},
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}
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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/

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