Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6417232 | Journal of Differential Equations | 2011 | 25 Pages |
Abstract
We revisit a result by Cuccagna, Kirr and Pelinovsky about the cubic nonlinear Schrödinger equation (NLS) with an attractive localized potential and a time-dependent factor in the nonlinearity. We show that, under generic hypotheses on the linearization at 0 of the equation, small energy solutions are asymptotically free. This is yet a new application of the hamiltonian structure, continuing a program initiated in a paper by Bambusi and Cuccagna.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Scipio Cuccagna,