Armel Andami Ovono
Abstract:
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 email: andami@u-picardie.fr |
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