Geodesic
$L^p$Regularity of Transmission Problems in Dihedral Domains
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 633-660

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

We consider the transmission problem for the Laplace operator in a straight cylinder with data in $L^p$. Applying the theory of the sums of operators in Banach spaces, we prove that the solution admits a decomposition into a regular part in $W^{2,p}$ and an explicit singular part. 
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     title = {$L^p${Regularity} of {Transmission} {Problems} in {Dihedral} {Domains}},
     journal = {Bollettino della Unione matematica italiana},
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Aibeche, Aissa; Chikouche, Wided; Nicaise, Serge. $L^p$Regularity of Transmission Problems in Dihedral Domains. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 633-660. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a11/