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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2021 Volume 110, Issue 3, Pages 405–423 (Mi mzm11103)

On the Recovery of Solutions of a Generalized Cauchy–Riemann System in a Multidimensional Spatial Domain from Their Values on a Piece of the Boundary of This Domain

È. N. Sattorov, F. E. Ermamatova

A. Navoi Samarkand State University

Abstract: The paper deals with the problem of recovering solutions of a generalized Cauchy–Riemann system in a multidimensional spatial domain from their values on a piece of the boundary of this domain, i.e., an approximate solution of this problem based on the Carleman–Yarmukhamedov matrix method is constructed.

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

UDC: 517.946

Received: 08.04.2020

DOI: 10.4213/mzm11103


 English version:
Mathematical Notes, 2021, 110:3, 393–408

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© Steklov Math. Inst. of RAS, 2024