This article is devoted to the analysis of a two-space dimensional linear parabolic equation, subject to Cauchy-Dirichlet boundary conditions. The problem is set in a conical type domain and the right hand side term of the equation is taken in a Lebesgue space. One of the main issues of this work is that the domain can possibly be non regular. This work is an extension of the symmetric case studied in Sadallah .
Submitted May 31, 2012. Published July 9, 2012.
Math Subject Classifications: 35K05, 35K20.
Key Words: Parabolic equation; conical domain; anisotropic Sobolev space.
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| Arezki Kheloufi |
Department of Technology, Faculty of Technology
Béjaia University, 6000 Béjaia, Algeria
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