This article is cited in 3 papers

Marcinkiewicz exponents and a boundary-value jump problem for Beltrami equation

D. B. Katz

Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia

Abstract: The Marcinkiewicz exponents that were introduced by author before are applied here to solving boundary value jump problem on non-rectifiable curve for one special case of the Beltrami equation.

Keywords: Marcinkiewicz exponent, fractal, boundary-value problem, Riemann problem, non-rectifiable curve, Beltrami equation.

UDC: 517.53:517.544

Received: 19.12.2015
Revised: 14.02.2016

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2017, 61:6, 37–43

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