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

Andreas Ioannidis; Gerhard Kristensson; Ioannis Stratis

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

Andreas Ioannidis, Gerhard Kristensson, Ioannis Stratis

Department of Electrical and Information Technology

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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
Publisher	[Publisher information missing]
Number of pages	25
Volume	TEAT-7202
Publication status	Published - 2010

Publication series

Name	Technical Report LUTEDX/(TEAT-7202)/1-25/(2010)
Volume	TEAT-7202

Bibliographical note

Published version: SIAM Journal on Mathematical Analysis, Vol. 44, No. 4, pp. 2459-2473, 2012.

Subject classification (UKÄ)

Electrical Engineering, Electronic Engineering, Information Engineering

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TEAT7202-net

Cite this

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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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series = "Technical Report LUTEDX/(TEAT-7202)/1-25/(2010)",

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T1 - On the well-posedness of the Maxwell system for linear bianisotropic media

AU - Ioannidis, Andreas

AU - Kristensson, Gerhard

AU - Stratis, Ioannis

N1 - Published version: SIAM Journal on Mathematical Analysis, Vol. 44, No. 4, pp. 2459-2473, 2012.

PY - 2010

Y1 - 2010

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.

M3 - Report

VL - TEAT-7202

T3 - Technical Report LUTEDX/(TEAT-7202)/1-25/(2010)

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

PB - [Publisher information missing]

ER -

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

Abstract

Publication series

Bibliographical note

Subject classification (UKÄ)

Access to Document

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Cite this