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arXiv · 1904.11869

On stability of small solitons of the 1--D NLS with a trapping delta potential

Scipio Cuccagna·Masaya Maeda
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Abstract

We consider a Nonlinear Schr\"odinger Equation with a very general non linear term and with a trapping $\delta $ potential on the line. We then discuss the asymptotic behavior of all its small solutions, generalizing a recent result by Masaki et al. We give also a result of dispersion in the case of defocusing equations with a non--trapping delta potential.

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Scipio Cuccagna, Masaya Maeda. 2019-04-26. On stability of small solitons of the 1--D NLS with a trapping delta potential. https://arxiv.org/abs/1904.11869

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