Singularities of Maxwell's system in non-Hilbertian Sobolev spaces

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Annali della Scuola Normale Superiore di Pisa- Classe di Scienze 7 (3):455-482 (2008)
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Abstract

We study the regularity of the solution of the regularized electric Maxwell problem in a polygonal domain with data in $L^p^2$. Using a duality method, we prove a decomposition of the solution into a regular part in the non-Hilbertian Sobolev space $W^{2,p}^2$ and an explicit singular one

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10.2422/2036-2145.2008.3.04

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