USA-Chile Workshop on Nonlinear Analysis,
Electron. J. Diff. Eqns., Conf. 06, 2001, pp. 45-53.

First moments of energy and convergence to equilibrium

Jerome Busca

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 $\omega$-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

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