Global attractor for weakly damped Nonlinear Schrödinger equations in $L^2(\R)$
Résumé
We prove that the weakly damped nonlinear Schrödinger flow in $L^2(\mathbb{R})$ provides a dynamical system which possesses a global attractor. The proof relies on the continuity of the Schrödinger flow for the weak topology in $L^2(\R)$.
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