Rabah Labbas, Ahmed Medeghri, Boubaker-Khaled Sadallah
We give regularity results for solutions of a parabolic equation in non-rectangular domains with . The optimal regularity is obtained in the framework of the space with by considering the following cases: (1) When , with a regular right-hand side belonging to a subspace of and under assumption . We use Labbas-Terreni results . (2) When with a right-hand side taken only in . Our approach make use of the celebrated Dore-Venni results .
Submitted July 16, 2004. Published March 29, 2005.
Math Subject Classifications: 35K05, 35K65, 35K90
Key Words: Sum of linear operators, diffusion equation, non rectangular domain,bounded imaginary powers of operators
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| Rabah Labbas |
Laboratoire de Mathématiques
Université du Havre, U.F.R. Sciences et Techniques
b.p. 540, 76058 Le Havre, France
| Ahmed Medeghri |
Université de Mostaganem
b.p. 188, 27000, Mostaganem, Algeria
| Boubaker-Khaled Sadallah |
Ecole Normale Supérieure, Département
de Maths, 16050 Kouba, Alger, Algeria
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