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arXiv · 0910.0172

Global attractor for weakly damped Nonlinear Schrödinger equations in $L^2(\R)$

Olivier Goubet·Luc Molinet
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Abstract

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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Olivier Goubet, Luc Molinet. 2009-10-01. Global attractor for weakly damped Nonlinear Schrödinger equations in $L^2(\R)$. https://arxiv.org/abs/0910.0172

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