The Cauchy problem for electromagnetic wave propagation in globally perturbed nonselfadjoint media
type: Item
instance of: scholarly article
title: The Cauchy problem for electromagnetic wave propagation in globally perturbed nonselfadjoint media
zbMATH Open document ID: 0588.35079
DOI: 10.1016/0022-247X(85)90179-9
author: John C. Hoover
author: William Smith
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: The subject of this paper is the Cauchy problem for perturbations of the system of partial differential equations known as Maxwells equations. The authors state that the motivation for the paper is that the perturbation of Maxwells equations is rarely considered directly and perturbations of the type they consider, which are not locally acting, offer a generality in formulation not available in the local case. The methodology of the paper is the use of nonstandard spectral theory of certain operators related to the stated partial differential equation problem together with standard semigroup techniques. The work is a continuation of the authors' work [J. Math. Anal. Appl. 97, 311-328 (1983; Zbl 0535.35054)].
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 35B20
Mathematics Subject Classification ID: 47D03
Mathematics Subject Classification ID: 35P05
zbMATH DE Number: 3944428
zbMATH Keywords: Cauchy problem
zbMATH Keywords: perturbations
zbMATH Keywords: Maxwells equations
zbMATH Keywords: nonstandard spectral theory
zbMATH Keywords: semigroup techniques
reviewed by: T. R. Faulkner
MaRDI profile type: Publication
cites work: Q3861989
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description: scientific article; zbMATH DE number 3944428