Arezki Kheloufi, Boubaker-Khaled Sadallah
Abstract:
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 email: arezkinet2000@yahoo.fr | |
Boubaker-Khaled Sadallah Department of Mathematics, E.N.S. 16050 Kouba. Algiers, Algeria email: sadallah@ens-kouba.dz |
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