This article is cited in 1 paper

Solution of $n$-phase $\mathbb R$-linear conjugation problem

T. V. Nikonenkova

Chair of Differential Equations, Kazan State University, Kazan, Russia

Abstract: We consider the problem of the distribution of power fields of various physical nature in a piecewise homogeneous planar medium consisting of several homogeneous components separated by branches of confocal hyperbolas. We reduce this problem to the linear conjugation problem and solve the latter analytically.

Keywords: heterogeneous media, $\mathbb R$-linear conjugation problem, analytic functions.

UDC: 517.544

Received: 09.10.2009

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:4, 67–73

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