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Matematicheskie Zametki, 2021, Volume 110, Issue 3, Pages 405–423
DOI: https://doi.org/10.4213/mzm11103
(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
References:
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
English version:
Mathematical Notes, 2021, Volume 110, Issue 3, Pages 393–408
DOI: https://doi.org/10.1134/S000143462109008X
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
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
Citation in format AMSBIB
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\by \`E.~N.~Sattorov, F.~E.~Ermamatova
\paper 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
\jour Mat. Zametki
\yr 2021
\vol 110
\issue 3
\pages 405--423
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\crossref{https://doi.org/10.4213/mzm11103}
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\transl
\jour Math. Notes
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\vol 110
\issue 3
\pages 393--408
\crossref{https://doi.org/10.1134/S000143462109008X}
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  • https://doi.org/10.4213/mzm11103
  • https://www.mathnet.ru/eng/mzm/v110/i3/p405
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