The highlights of the article under review are: (a) the role of transmission eigenvalues in {Tikhonov} regularisation, (b) the existence of transmission eigenvalues and (c) the relation between inhomogeneities of a scatterer and transmission eigenvalues. Many publications and articles, including the one under review, do not address the following properties: (m1) any material medium exhibits parameters (the matrices A and N of the article), which depend on frequency; (m2) the real and imaginary parts of permittivities and permeabilities are subject to the {Kramers-Kronig} relations.

Crosta, G. (2014). Mathematical Review: MR3178556 Harris, Isaac; Cakoni, Fioralba; Sun, Jiguang Transmission eigenvalues and non-destructive testing of anisotropic magnetic materials with voids. Inverse Problems 30 (2014), no. 3, 035016, 21 pp [Altro].

Mathematical Review: MR3178556 Harris, Isaac; Cakoni, Fioralba; Sun, Jiguang Transmission eigenvalues and non-destructive testing of anisotropic magnetic materials with voids. Inverse Problems 30 (2014), no. 3, 035016, 21 pp

CROSTA, GIOVANNI FRANCO FILIPPO
Primo
2014

Abstract

The highlights of the article under review are: (a) the role of transmission eigenvalues in {Tikhonov} regularisation, (b) the existence of transmission eigenvalues and (c) the relation between inhomogeneities of a scatterer and transmission eigenvalues. Many publications and articles, including the one under review, do not address the following properties: (m1) any material medium exhibits parameters (the matrices A and N of the article), which depend on frequency; (m2) the real and imaginary parts of permittivities and permeabilities are subject to the {Kramers-Kronig} relations.
Altro
Mathematical Reviews
Transmission eigenvalues, Inverse Problems
English
2014
http://www.ams.org/mathscinet/search/publdoc.html?arg3=&co4=AND&co5=AND&co6=AND&co7=AND&dr=all&pg4=RVCN&pg5=ALLF&pg6=PC&pg7=ALLF&pg8=ET&review_format=html&s4=Crosta&s5=&s6=&s7=&s8=All&vfpref=html&yearRangeFirst=&yearRangeSecond=&yrop=eq&r=3&mx-pid=3178556
signed Mathematical Review
Crosta, G. (2014). Mathematical Review: MR3178556 Harris, Isaac; Cakoni, Fioralba; Sun, Jiguang Transmission eigenvalues and non-destructive testing of anisotropic magnetic materials with voids. Inverse Problems 30 (2014), no. 3, 035016, 21 pp [Altro].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/92966
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