Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains

Andrea Bonito; Jean-Luc Guermond; Francky Luddens

doi:10.1016/j.jmaa.2013.06.018

Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains

Andrea Bonito, Jean-Luc Guermond, Francky Luddens

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

66 Scopus citations

Abstract

This note establishes regularity estimates for the solution of the Maxwell equations in Lipschitz domains with non-smooth coefficients and minimal regularity assumptions. The argumentation relies on elliptic regularity estimates for the Poisson problem with non-smooth coefficients. © 2013 Elsevier Ltd.

Original language	English (US)
Pages (from-to)	498-512
Number of pages	15
Journal	Journal of Mathematical Analysis and Applications
Volume	408
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2013.06.018
State	Published - Dec 2013
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUS-C1-016-04
Acknowledgements: The first author was partially supported by the NSF grant DMS-0914977.The first and second authors were partially supported by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST).The second and third authors were partially supported by the NSF grant DMS-1015984.Part of the third author's work was done during visits of Francky Luddens at Texas A&M and the support of the University Paris-Sud 11 is acknowledged.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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10.1016/j.jmaa.2013.06.018

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title = "Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains",

abstract = "This note establishes regularity estimates for the solution of the Maxwell equations in Lipschitz domains with non-smooth coefficients and minimal regularity assumptions. The argumentation relies on elliptic regularity estimates for the Poisson problem with non-smooth coefficients. {\textcopyright} 2013 Elsevier Ltd.",

author = "Andrea Bonito and Jean-Luc Guermond and Francky Luddens",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): KUS-C1-016-04 Acknowledgements: The first author was partially supported by the NSF grant DMS-0914977.The first and second authors were partially supported by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST).The second and third authors were partially supported by the NSF grant DMS-1015984.Part of the third author's work was done during visits of Francky Luddens at Texas A&M and the support of the University Paris-Sud 11 is acknowledged. This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

year = "2013",

month = dec,

doi = "10.1016/j.jmaa.2013.06.018",

language = "English (US)",

volume = "408",

pages = "498--512",

journal = "Journal of Mathematical Analysis and Applications",

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publisher = "Elsevier",

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T1 - Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains

AU - Bonito, Andrea

AU - Guermond, Jean-Luc

AU - Luddens, Francky

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): KUS-C1-016-04 Acknowledgements: The first author was partially supported by the NSF grant DMS-0914977.The first and second authors were partially supported by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST).The second and third authors were partially supported by the NSF grant DMS-1015984.Part of the third author's work was done during visits of Francky Luddens at Texas A&M and the support of the University Paris-Sud 11 is acknowledged. This publication acknowledges KAUST support, but has no KAUST affiliated authors.

PY - 2013/12

Y1 - 2013/12

N2 - This note establishes regularity estimates for the solution of the Maxwell equations in Lipschitz domains with non-smooth coefficients and minimal regularity assumptions. The argumentation relies on elliptic regularity estimates for the Poisson problem with non-smooth coefficients. © 2013 Elsevier Ltd.

AB - This note establishes regularity estimates for the solution of the Maxwell equations in Lipschitz domains with non-smooth coefficients and minimal regularity assumptions. The argumentation relies on elliptic regularity estimates for the Poisson problem with non-smooth coefficients. © 2013 Elsevier Ltd.

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DO - 10.1016/j.jmaa.2013.06.018

M3 - Article

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VL - 408

SP - 498

EP - 512

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains

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