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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 2, Pages 39–48
DOI: https://doi.org/10.26907/0021-3446-2019-2-39-48 (Mi ivm9438) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On recovery of solutions to homogeneous system of Maxwell equations in a domain by their values on a part of a boundary

E;. N. Sattorov, Z. E. Ermamatova

Samarkand State University, 15 Univrsitetskii blvd., Samarkand, 140101 Republic of Uzbekistan
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DOI: https://doi.org/10.26907/0021-3446-2019-2-39-48
Abstract: In this paper we investigate the analytic continuation of the solution of the system of Maxwell equations in a bounded space domain from the values of the solution on part of the boundary of this domain, i. e. we study the Cauchy problem. We construct an approximate solution to this problem based on the Carleman matrix method.
Keywords: Maxwell equations, ill-posed problem, regular solution, Carleman matrix.
Received: 07.04.2017
Revised: 21.09.2018
Accepted: 26.09.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 2, Pages 35–43
DOI: https://doi.org/10.3103/S1066369X19020051
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: 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”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 2, 39–48; Russian Math. (Iz. VUZ), 63:2 (2019), 35–43
Citation in format AMSBIB
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\pages 39--48
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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