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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2011, Number 2(14), Pages 20–24 (Mi vtgu186)  
MATHEMATICS

Solutions of the Loewner equation with an initial condition at the boundary of a circle

G. D. Sadritdinova

Tomsk State University of Architecture and Building
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Abstract: 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.
Received: 04.02.2011
Document Type: Article
UDC: 517.54
Language: Russian
Citation: G. D. Sadritdinova, “Solutions of the Loewner equation with an initial condition at the boundary of a circle”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2011, no. 2(14), 20–24
Citation in format AMSBIB
\Bibitem{Sad11}
\by G.~D.~Sadritdinova
\paper Solutions of the Loewner equation with an initial condition at the boundary of a~circle
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2011
\issue 2(14)
\pages 20--24
\mathnet{http://mi.mathnet.ru/vtgu186}
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    		Вестник Томского государственного университета. Математика и механика
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