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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2020 Volume 60, Number 10, Pages 1757–1763 (Mi zvmmf11148)

This article is cited in 1 paper

Partial Differential Equations

Singularly perturbed Cauchy–Riemann equation with a singularity in the lower coefficient

A. B. Rasulov, Yu. S. Fedorov

National Research University "Moscow Power Engineering Institute", Moscow, 111250 Russia

Abstract: The Lomov regularization method is generalized to a singularly perturbed Cauchy–Riemann equation with a singularity in the lower coefficient.

Key words: Cauchy–Riemann system, Dirichlet problem, Lomov regularization method, Vekua operator.

UDC: 517.95

Received: 03.02.2020
Revised: 29.05.2020
Accepted: 09.06.2020

DOI: 10.31857/S0044466920100130


 English version:
Computational Mathematics and Mathematical Physics, 2020, 60:10, 1701–1707

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© Steklov Math. Inst. of RAS, 2024