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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2009 Volume 86, Issue 3, Pages 445–455 (Mi mzm8503)

This article is cited 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

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.

UDC: 517.946

Received: 27.04.2006

DOI: 10.4213/mzm8503


 English version:
Mathematical Notes, 2009, 86:3, 422–431

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© Steklov Math. Inst. of RAS, 2024