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Mat. Zametki, 2009, Volume 86, Issue 3, Pages 445–455 (Mi mz8503)  

This article is cited in 5 scientific papers (total in 5 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

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

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

Full text: PDF file (478 kB)
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English version:
Mathematical Notes, 2009, 86:3, 422–431

Bibliographic databases:

UDC: 517.946
Received: 27.04.2006

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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\vol 86
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\pages 445--455
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\pages 422--431
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. 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  crossref  mathscinet  zmath  isi  scopus
    2. 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  mathnet  crossref  crossref  isi
    3. 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  mathnet  crossref
    4. 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  mathnet  crossref  crossref  isi
    5. 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  mathnet  crossref  crossref
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