Regularization of the solution of the Cauchy problem for the system of Maxwell equations in an unbounded domain

DOI10.1134/S0001434609090156zbMath1181.35281OpenAlexW2030931432MaRDI QIDQ1048587

E. N. Sattorov

Publication date: 12 January 2010

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434609090156

zbMATH Keywords

regularizationCauchy problemMaxwell equationsLaplace equationHelmholtz equationanalytic continuationCarleman matrix

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Theoretical approximation in context of PDEs (35A35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Continuation and prolongation of solutions to PDEs (35B60) Maxwell equations (35Q61)

Related Items (7)

CARLEMAN'S FORMULA OF A SOLUTIONS OF THE POISSON EQUATION IN BOUNDED DOMAIN ⋮ 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 ⋮ Carleman's formula for solutions of generalized Cauchy-Riemann systems in multidimensional spatial domains ⋮ Cauchy problem for a generalized Cauchy-Riemann system in a multidimensional bounded spatial domain ⋮ A projection method with regularization for Cauchy problem of the time-harmonic Maxwell equations ⋮ On continuation of solutions of generalized Cauchy-Riemann system in an unbounded subdomain of multidimensional space ⋮ Recovery of solutions to homogeneous system of Maxwell's equations with prescribed values on a part of the boundary of domain

Cites Work

• Diffraction Theory of Electromagnetic Waves
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