Geodesic
Regularization of the Solution of the Cauchy Problem for the System of Maxwell Equations in an Unbounded Domain
Matematičeskie zametki, Tome 86 (2009) no. 3, pp. 445-455

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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, Helmholtz equation.
Mots-clés : Carleman matrix, Laplace equation 
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     author = {\`E. N. Sattorov},
     title = {Regularization of the {Solution} of the {Cauchy} {Problem} for the {System} of {Maxwell} {Equations} in an {Unbounded} {Domain}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {445--455},
     publisher = {mathdoc},
     volume = {86},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2009_86_3_a13/}
}
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È. N. Sattorov. Regularization of the Solution of the Cauchy Problem for the System of Maxwell Equations in an Unbounded Domain. Matematičeskie zametki, Tome 86 (2009) no. 3, pp. 445-455. http://geodesic.mathdoc.fr/item/MZM_2009_86_3_a13/