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We study the regularity of the solution of the regularized electric Maxwell problem in a polygonal domain with data in . Using a duality method, we prove a decomposition of the solution into a regular part in the non-Hilbertian Sobolev space and an explicit singular one.
@article{ASNSP_2008_5_7_3_455_0,
author = {Chikouche, Wided and Nicaise, Serge},
title = {Singularities of {Maxwell's} system in non-hilbertian {Sobolev} spaces},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {455--482},
publisher = {Scuola Normale Superiore, Pisa},
volume = {Ser. 5, 7},
number = {3},
year = {2008},
mrnumber = {2466437},
zbl = {1183.35260},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ASNSP_2008_5_7_3_455_0/}
}
TY - JOUR AU - Chikouche, Wided AU - Nicaise, Serge TI - Singularities of Maxwell's system in non-hilbertian Sobolev spaces JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2008 SP - 455 EP - 482 VL - 7 IS - 3 PB - Scuola Normale Superiore, Pisa UR - http://geodesic.mathdoc.fr/item/ASNSP_2008_5_7_3_455_0/ LA - en ID - ASNSP_2008_5_7_3_455_0 ER -
%0 Journal Article %A Chikouche, Wided %A Nicaise, Serge %T Singularities of Maxwell's system in non-hilbertian Sobolev spaces %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2008 %P 455-482 %V 7 %N 3 %I Scuola Normale Superiore, Pisa %U http://geodesic.mathdoc.fr/item/ASNSP_2008_5_7_3_455_0/ %G en %F ASNSP_2008_5_7_3_455_0
Chikouche, Wided; Nicaise, Serge. Singularities of Maxwell's system in non-hilbertian Sobolev spaces. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 7 (2008) no. 3, pp. 455-482. http://geodesic.mathdoc.fr/item/ASNSP_2008_5_7_3_455_0/