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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.
Received: 08.04.2020
Citation:
È. N. Sattorov, F. E. Ermamatova, “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”, Mat. Zametki, 110:3 (2021), 405–423; Math. Notes, 110:3 (2021), 393–408
Linking options:
https://www.mathnet.ru/eng/mzm11103https://doi.org/10.4213/mzm11103 https://www.mathnet.ru/eng/mzm/v110/i3/p405
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