LpRegularity of Transmission Problems in Dihedral Domains
Aibeche, Aissa ; Chikouche, Wided ; Nicaise, Serge
Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007), p. 633-660 / Harvested from Biblioteca Digitale Italiana di Matematica
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We consider the transmission problem for the Laplace operator in a straight cylinder with data in Lp. Applying the theory of the sums of operators in Banach spaces, we prove that the solution admits a decomposition into a regular part in W2,p and an explicit singular part.

Consideriamo il problema di trasmissione per l'operatore di Laplace per un cilindro retto con dati in Lp. Applicando la teoria delle somme di operatori negli spazi di Banach, dimostriamo che la soluzione ammette una decomposizione in una parte regolare in W2,p e una parte singolare esplicita.

Publié le : 2007-10-01
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     author = {Aissa Aibeche and Wided Chikouche and Serge Nicaise},
     title = {$L^p$Regularity of Transmission Problems in Dihedral Domains},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {10-A},
     year = {2007},
     pages = {633-660},
     zbl = {1178.47005},
     mrnumber = {2351535},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2007_8_10B_3_633_0}
}

Aibeche, Aissa; Chikouche, Wided; Nicaise, Serge. $L^p$Regularity of Transmission Problems in Dihedral Domains. Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007) pp. 633-660. http://gdmltest.u-ga.fr/item/BUMI_2007_8_10B_3_633_0/

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