A duality approach for solving identification problems related to integrodifferential Maxwell's equations
type: Item
instance of: scholarly article
title: A duality approach for solving identification problems related to integrodifferential Maxwell's equations
zbMATH Open document ID: 0804.45006
author: Alfredo Lorenzi
author: V. Priymenko
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 1995-01-22T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/108325
review text: A memory term in Maxwell's integro-differential equations related to polarized media is determined. A duality approach for solving identification problems is used. After a detailed introduction, the authors present their main result in the first section, through a theorem. The whole problem is brought into an abstract real Hilbert space setting and the basic abstract conclusion is stated. Then an equivalent result for the abstract problem is given and the solution of the direct problem is discussed. Proofs of a few theorems are also provided.
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 45N05
zbMATH DE Number: 627422
zbMATH Keywords: inverse problems
zbMATH Keywords: Maxwell's integro-differential equations
zbMATH Keywords: polarized media
zbMATH Keywords: duality
zbMATH Keywords: identification problems
zbMATH Keywords: Hilbert space setting
zbMATH Keywords: abstract problem
zbMATH Keywords: direct problem
MaRDI profile type: Publication
cites work: Q3784480
cites work: An inverse hyperbolic integrodifferential problem arising in geophysics II
cites work: Q5722964
cites work: An identification problem related to the integrodifferential Maxwell's equation
cites work: Q3207428
cites work: Q4163866
cites work: On an electromagnetic inverse problem for dispersive media
Recommended article: An identification problem related to the integrodifferential Maxwell's equation
Recommended article: Identification problems for Maxwell integro-differential equations related to media with cylindric symmetries
Recommended article: An identification problem for the Maxwell equations in a non-homogeneous dispersive medium
Recommended article: Identification of dipole sources in a bounded domain for Maxwell's equations.
Recommended article: Q3370813
Recommended article: Q4203319
Recommended article: A new method for the solution of convolution-type dual integral-equation systems occurring in engineering electromagnetics
Recommended article: Q4011865
Recommended article: Hybrid inverse problems for a system of Maxwell’s equations
Recommended article: Identification of the combination of monopolar and dipolar sources for elliptic equations
description: scientific article; zbMATH DE number 627422