Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains

Handle URI:
http://hdl.handle.net/10754/599487
Title:
Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains
Authors:
Bonito, Andrea; Guermond, Jean-Luc; Luddens, Francky
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.
Citation:
Bonito A, Guermond J-L, Luddens F (2013) Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains. Journal of Mathematical Analysis and Applications 408: 498–512. Available: http://dx.doi.org/10.1016/j.jmaa.2013.06.018.
Publisher:
Elsevier BV
Journal:
Journal of Mathematical Analysis and Applications
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
Dec-2013
DOI:
10.1016/j.jmaa.2013.06.018
Type:
Article
ISSN:
0022-247X
Sponsors:
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.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorBonito, Andreaen
dc.contributor.authorGuermond, Jean-Lucen
dc.contributor.authorLuddens, Franckyen
dc.date.accessioned2016-02-28T05:52:02Zen
dc.date.available2016-02-28T05:52:02Zen
dc.date.issued2013-12en
dc.identifier.citationBonito A, Guermond J-L, Luddens F (2013) Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains. Journal of Mathematical Analysis and Applications 408: 498–512. Available: http://dx.doi.org/10.1016/j.jmaa.2013.06.018.en
dc.identifier.issn0022-247Xen
dc.identifier.doi10.1016/j.jmaa.2013.06.018en
dc.identifier.urihttp://hdl.handle.net/10754/599487en
dc.description.abstractThis 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.en
dc.description.sponsorshipThe 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.en
dc.publisherElsevier BVen
dc.subjectDiscontinuous coefficientsen
dc.subjectElliptic regularityen
dc.subjectLipschitz domainsen
dc.subjectMaxwell equationsen
dc.titleRegularity of the Maxwell equations in heterogeneous media and Lipschitz domainsen
dc.typeArticleen
dc.identifier.journalJournal of Mathematical Analysis and Applicationsen
dc.contributor.institutionTexas A and M University, College Station, United Statesen
dc.contributor.institutionLIMSI Laobratoire d'Informatique pour la Mecanique et les Sciences de l'Ingenieur, Orsay, Franceen
kaust.grant.numberKUS-C1-016-04en
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