USAChile Workshop on Nonlinear Analysis,
Electron. J. Diff. Eqns., Conf. 06, 2001, pp. 4553.
First moments of energy and convergence to equilibrium
Jerome Busca
Abstract:
A basic question is to establish
convergence to equilibrium for globally defined
solutions to evolution problems. The purpose here
is to emphasize the role of symmetry. In particular,
it is proved that in some cases the first moments of energy are
constant on the
limit
set of the solution. This
key property is used to prove convergence in two model
evolution problems. This communication
is based on two joint works with P. Felmer [3]
and M.A. Jendoubi [4].
Published January 8, 2001.
Math Subject Classifications: 35B50, 35A05.
Key Words: Parabolic Equations, Equilibrium, Convergence.
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Jerome Busca
Laboratoire de Mathematiques et de Physique Theorique
Universite Francois Rabelais
Parc de Grandmont
37200 Tours, France
email: busca@ceremade.dauphine.fr

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