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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2021 Number 2, Pages 27–43 (Mi ivm9646)

This article is cited in 1 paper

On continuation of solutions of generalized Cauchy–Riemann system in an unbounded subdomain of multidimensional space

E. N. Sattorov, F. E. Ermamatova

Samarkand State University, 15 Univrsitetskii blvd., Samarkand, 140104 Republic of Uzbekistan

Abstract: In this paper we consider the problem of reconstructing solutions to a generalized Cauchy-Riemann system in a many-dimensional spatial unbounded domain from their values on a part of the domain boundary, i.e., we construct an approximate solution to this problem with the help of the Carleman-Yarmuhamedov matrix method.

Keywords: generalized Cauchy–Riemann system, ill-posed problems, regularized solution, approximate solution, Carleman-Yarmuhamedov matrix.

UDC: 517.946

Received: 08.04.2020
Revised: 17.09.2020
Accepted: 24.12.2020

DOI: 10.26907/0021-3446-2021-2-27-43


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, 65:2, 22–38

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© Steklov Math. Inst. of RAS, 2024