# American Institute of Mathematical Sciences

October  1997, 3(4): 503-530. doi: 10.3934/dcds.1997.3.503

## Approximate inertial manifolds for a weakly damped nonlinear Schrödinger equation

 1 Analyse Numérique et EDP, Université de Paris-Sud, Bât. 425, 91405 Orsay Cedex, France

Received  March 1997 Published  July 1997

We construct several approximate inertial manifolds for a weakly damped nonlinear Schrödinger equation. For that purpose, we introduce suitable smooth approximations for the solution of the equation and for its time derivatives.
Citation: Olivier Goubet. Approximate inertial manifolds for a weakly damped nonlinear Schrödinger equation. Discrete and Continuous Dynamical Systems, 1997, 3 (4) : 503-530. doi: 10.3934/dcds.1997.3.503
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