TY - JOUR
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.
UR - http://hdl.handle.net/10754/599487
UR - https://linkinghub.elsevier.com/retrieve/pii/S0022247X13005635
UR - http://www.scopus.com/inward/record.url?scp=84881369242&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2013.06.018
DO - 10.1016/j.jmaa.2013.06.018
M3 - Article
SN - 0022-247X
VL - 408
SP - 498
EP - 512
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -