A new family of first-order boundary conditions for the Maxwell system: Derivation, well-posedness and long-time behavior
type: Item
instance of: scholarly article
title: A new family of first-order boundary conditions for the Maxwell system: Derivation, well-posedness and long-time behavior
zbMATH Open document ID: 1028.35144
DOI: 10.1016/S0021-7824(02)00002-8
author: Hélène Barucq
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2003-09-07T00:00:00Z
review text: This paper studies the time-dependent Maxwell system in the case of TE-polarized electromagnetic waves subject to a family of first-order local boundary conditions. The conditions differ from an arbitrary function and all of them lead to a well-posed mixed problem capable of description in terms of a continuous semigroup. By involving an invariant space for the Maxwell system, the limit state is shown to be capable of explicit description as a solution to a boundary-value problem dependent on the initial data. The long time behavior of the solution is also analyzed in detail.
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 1975976
zbMATH Keywords: pseudodifferential calculus
zbMATH Keywords: absorbing boundary conditions
zbMATH Keywords: energy methods
zbMATH Keywords: stationary solutions
reviewed by: Alan Jeffrey
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1975976