È. N. Sattorov, “Regularization of the Solution of the Cauchy Problem for the System of Maxwell Equations in an Unbounded Domain”, Mat. Zametki, 86:3 (2009), 445–455; Math. Notes, 86:3 (2009), 422

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Matematicheskie Zametki, 2009, Volume 86, Issue 3, Pages 445–455
DOI: https://doi.org/10.4213/mzm8503 (Mi mzm8503)

This article is cited in 7 scientific papers (total in 7 papers)

Regularization of the Solution of the Cauchy Problem for the System of Maxwell Equations in an Unbounded Domain

È. N. Sattorov

A. Navoi Samarkand State University

Full-text PDF (478 kB) Citations (7)

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DOI: https://doi.org/10.4213/mzm8503

Abstract: We study the analytic continuation of the solution of the system of Maxwell equations in a spatial unbounded domain from its values on a part of the boundary of this domain. We construct an approximate solution of this problem based on the Carleman matrix method.

Keywords: Maxwell equations, Cauchy problem, regularization, analytic continuation, Carleman matrix, Laplace equation, Helmholtz equation.

Received: 27.04.2006

English version:
Mathematical Notes, 2009, Volume 86, Issue 3, Pages 422–431
DOI: https://doi.org/10.1134/S0001434609090156

Bibliographic databases:

UDC: 517.946

Language: Russian

Citation: È. N. Sattorov, “Regularization of the Solution of the Cauchy Problem for the System of Maxwell Equations in an Unbounded Domain”, Mat. Zametki, 86:3 (2009), 445–455; Math. Notes, 86:3 (2009), 422–431

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/mzm8503

https://doi.org/10.4213/mzm8503

https://www.mathnet.ru/eng/mzm/v86/i3/p445

This publication is cited in the following 7 articles:

E. N. Sattorov, F. E. Ermamatova, “On continuation of solutions of generalized Cauchy–Riemann system in an unbounded subdomain of multidimensional space”, Russian Math. (Iz. VUZ), 65:2 (2021), 22–38
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”, Math. Notes, 110:3 (2021), 393–408
Ermamat N. Sattorov, Zuxro E. Ermamatova, “Carleman's formula of a solutions of the Poisson equation in bounded domain”, Ural Math. J., 7:2 (2021), 110–120
Sattorov E.N., Ermamatova F.E., “Cauchy Problem For a Generalized Cauchy-Riemann System in a Multidimensional Bounded Spatial Domain”, Differ. Equ., 57:1 (2021), 86–99
E;. N. Sattorov, Z. E. Ermamatova, “On recovery of solutions to homogeneous system of Maxwell equations in a domain by their values on a part of a boundary”, Russian Math. (Iz. VUZ), 63:2 (2019), 35–43
E. N. Sattorov, F. E. Ermamatova, “Formula Karlemana dlya reshenii obobschennoi sistemy Koshi–Rimana v mnogomernoi prostranstvennoi oblasti”, Sovremennye problemy matematiki i fiziki, SMFN, 65, no. 1, Rossiiskii universitet druzhby narodov, M., 2019, 95–108
Ma Yu., Ma F., “A Projection Method With Regularization For Cauchy Problem of the Time-Harmonic Maxwell Equations”, Appl. Numer. Math., 129 (2018), 71–82

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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