Article ID Journal Published Year Pages File Type
842858 Nonlinear Analysis: Theory, Methods & Applications 2009 4 Pages PDF
Abstract

We prove that the weakly damped nonlinear Schrödinger flow in L2(R)L2(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 L2(R)L2(R).

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Physical Sciences and Engineering Engineering Engineering (General)
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Global attractor for weakly damped nonlinear Schrödinger equations in L2(R)L2(R)
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