L p Regularity of Transmission Problems in Dihedral Domains

Aissa Aibeche; Wided Chikouche; Serge Nicaise

Bollettino dell'Unione Matematica Italiana (2007)

  • Volume: 10-B, Issue: 3, page 633-660
  • ISSN: 0392-4041

Abstract

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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.

How to cite

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Aibeche, Aissa, Chikouche, Wided, and Nicaise, Serge. "$L^p$Regularity of Transmission Problems in Dihedral Domains." Bollettino dell'Unione Matematica Italiana 10-B.3 (2007): 633-660. <http://eudml.org/doc/290430>.

@article{Aibeche2007,
abstract = {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.},
author = {Aibeche, Aissa, Chikouche, Wided, Nicaise, Serge},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {633-660},
publisher = {Unione Matematica Italiana},
title = {$L^p$Regularity of Transmission Problems in Dihedral Domains},
url = {http://eudml.org/doc/290430},
volume = {10-B},
year = {2007},
}

TY - JOUR
AU - Aibeche, Aissa
AU - Chikouche, Wided
AU - Nicaise, Serge
TI - $L^p$Regularity of Transmission Problems in Dihedral Domains
JO - Bollettino dell'Unione Matematica Italiana
DA - 2007/10//
PB - Unione Matematica Italiana
VL - 10-B
IS - 3
SP - 633
EP - 660
AB - 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.
LA - eng
UR - http://eudml.org/doc/290430
ER -

References

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