Arezki Kheloufi, Boubaker-Khaled Sadallah
In this article, we study the parabolic equation in the non-necessarily rectangular domain
The boundary conditions are of Robin type, while the right-hand side lies in the Lebesgue space . Our aim is to find conditions on and the functions such that the solution belongs to the anisotropic Sobolev space . For goal we use the method of approximation of domains.
Submitted July 29, 2009. Published February 10, 2010.
Math Subject Classifications: 35K05, 35K20.
Key Words: Parabolic equation; non-rectangular domains; Robin condition; anisotropic Sobolev space.
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| Arezki Kheloufi |
Department of Sciences and Techniques, Faculty of Technology
Béjaia University, 6000. Béjaia, Algeria
| Boubaker-Khaled Sadallah |
Department of Mathematics, E.N.S.
16050 Kouba. Algiers, Algeria
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