Aissa Aibeche, Wided Chikouche, Yasmina Daikh
Abstract:
We provide a description of the real interpolation spaces
between the domain of the Laplace operator (with transmission
conditions in a polygonal domain
) and
as
interpolation spaces between
(possibly augmented with singular solutions) and
.
This result relies essentially on estimates on the resolvent
and the reiteration theorem.
Submitted April 10, 2011. Published January 13, 2012.
Math Subject Classifications: 35R05, 35A20, 46B70.
Key Words: Transmission problem; non-smooth domains; interpolation.
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Aissa Aibeche Université de Setif Département de Mathéematiques Faculté des Sciences Setif 19000, Algeria email: aibeche@univ-setif.dz | |
Wided Chikouche Université de Jijel Laboratoire de Mathématiques Pures et Appliquées B.P. 98, Ouled Aissa, 18000 Jijel, Algeria email: w_chikouche@yahoo.com | |
Yasmina Daikh Université de Jijel Laboratoire de Mathématiques Pures et Appliquées B.P. 98, Ouled Aissa, 18000 Jijel, Algeria email: yasmina_daikh@yahoo.fr |
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