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}, zbl = {1183.35260}, mrnumber = {2466437}, language = {en}, url = {archive.numdam.org/item/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://archive.numdam.org/item/ASNSP_2008_5_7_3_455_0/
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