On the well-posedness of the Maxwell system for linear bianisotropic media

Andreas Ioannidis; Gerhard Kristensson; Ioannis Stratis

doi:10.1137/100817401

On the well-posedness of the Maxwell system for linear bianisotropic media

Andreas Ioannidis, Gerhard Kristensson, Ioannis Stratis

Department of Electrical and Information Technology

Research output: Contribution to journal › Article › peer-review

Abstract

The time dependent Maxwell system is supplemented with the constitutive relations of linear bianisotropc media and is treated as a neutral integro-differential equation in a Hilbert space. By using the theory of abstract Volterra equations and strongly continuous semigroups we obtain general well-posedness results for the corresponding mathematical problem.

Original language	English
Pages (from-to)	2459-2473
Journal	SIAM Journal on Mathematical Analysis
Volume	44
Issue number	4
DOIs	https://doi.org/10.1137/100817401
Publication status	Published - 2012

Subject classification (UKÄ)

Electrical Engineering, Electronic Engineering, Information Engineering

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10.1137/100817401

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title = "On the well-posedness of the Maxwell system for linear bianisotropic media",

abstract = "The time dependent Maxwell system is supplemented with the constitutive relations of linear bianisotropc media and is treated as a neutral integro-differential equation in a Hilbert space. By using the theory of abstract Volterra equations and strongly continuous semigroups we obtain general well-posedness results for the corresponding mathematical problem.",

author = "Andreas Ioannidis and Gerhard Kristensson and Ioannis Stratis",

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doi = "10.1137/100817401",

language = "English",

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journal = "SIAM Journal on Mathematical Analysis",

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AU - Ioannidis, Andreas

AU - Kristensson, Gerhard

AU - Stratis, Ioannis

PY - 2012

Y1 - 2012

N2 - The time dependent Maxwell system is supplemented with the constitutive relations of linear bianisotropc media and is treated as a neutral integro-differential equation in a Hilbert space. By using the theory of abstract Volterra equations and strongly continuous semigroups we obtain general well-posedness results for the corresponding mathematical problem.

AB - The time dependent Maxwell system is supplemented with the constitutive relations of linear bianisotropc media and is treated as a neutral integro-differential equation in a Hilbert space. By using the theory of abstract Volterra equations and strongly continuous semigroups we obtain general well-posedness results for the corresponding mathematical problem.

U2 - 10.1137/100817401

DO - 10.1137/100817401

M3 - Article

SN - 0036-1410

VL - 44

SP - 2459

EP - 2473

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

IS - 4

ER -

On the well-posedness of the Maxwell system for linear bianisotropic media

Abstract

Subject classification (UKÄ)

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