Sattorov, È. N.; Mardanov, Dzh. A. The Cauchy problem for a system of Maxwell equations. (Russian, English) Zbl 1028.35033 Sib. Mat. Zh. 44, No. 4, 851-861 (2003); translation in Sib. Math. J. 44, No. 4, 671-679 (2003). Summary: We consider the problem of analytic continuation of a solution to a system of Maxwell equations in a bounded spatial domain from data on part of the boundary of the domain. We construct an approximate solution to the problem using the Carleman matrix method. Cited in 6 Documents MSC: 35B60 Continuation and prolongation of solutions to PDEs 35R25 Ill-posed problems for PDEs Keywords:analytic continuation; regular solution; approximate solution; Carleman matrix; bounded spatial domain PDF BibTeX XML Cite \textit{È. N. Sattorov} and \textit{Dzh. A. Mardanov}, Sib. Mat. Zh. 44, No. 4, 851--861 (2003; Zbl 1028.35033); translation in Sib. Math. J. 44, No. 4, 671--679 (2003) Full Text: EuDML EMIS OpenURL