Recovery of solutions to homogeneous system of Maxwell's equations with prescribed values on a part of the boundary of domain

DOI10.3103/S1066369X19020051zbMath1442.65330OpenAlexW2951447542MaRDI QIDQ2287045

Z. E. Ermamatova, E. N. Sattorov

Publication date: 23 January 2020

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x19020051

zbMATH Keywords

Maxwell's equationsill-posed problemregular solutionCarleman matrix

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Electromagnetic theory (general) (78A25) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Maxwell equations (35Q61) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items (3)

CARLEMAN'S FORMULA OF A SOLUTIONS OF THE POISSON EQUATION IN BOUNDED DOMAIN ⋮ Cauchy problem for a generalized Cauchy-Riemann system in a multidimensional bounded spatial domain ⋮ On continuation of solutions of generalized Cauchy-Riemann system in an unbounded subdomain of multidimensional space

Cites Work

• Equations of Maxwell type
• Continuation of a solution to a homogeneous system of Maxwell equations
• Regularization of the solution of the Cauchy problem for the system of Maxwell equations in an unbounded domain
• Continuing solutions to the Helmholtz equation
• Inverse and ill-posed problems. Theory and applications.
• The Cauchy problem for a system of equations in the theory of elasticity and thermoelasticity in space
• The Carleman formula for Maxwell's equations on a plane
• Inverse conductivity problem in the infinite slab
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