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JOURNALS // Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika // Archive

Vestn. Tomsk. Gos. Univ. Mat. Mekh., 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

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.

UDC: 517.54

Received: 04.02.2011



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