Armel Andami Ovono
In this article, we study the asymptotic behaviour of a nonlocal nonlinear parabolic equation governed by a parameter. After giving the existence of unique branch of solutions composed by stable solutions in stationary case, we gives for the parabolic problem estimates of solution based on using the Moser iterations and existence of global attractor. We finish our study by the issue of asymptotic behaviour in some cases when .
Submitted March 9, 2010. Published September 20, 2010.
Math Subject Classifications: 35B35, 35B40, 35B51.
Key Words: Comparison principle; nonlocal diffusion; branch of solutions; asymptotic behaviour.
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| Armel Andami Ovono |
L.A.M.F.A CNRS UMR 6140, 33 rue Saint Leu
80039 Amiens cedex 1, France
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