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arxiv: 1206.1832 · v1 · pith:PBS735HDnew · submitted 2012-06-08 · 🧮 math.AP · math.DS

Soliton dynamics of NLS with singular potentials

classification 🧮 math.AP math.DS
keywords dynamicssingularsolitonbehaviorequationexternalinvestigatelimit
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We investigate the validity of a soliton dynamics behavior in the semi-relativistic limit for the nonlinear Schr\"odinger equation in $\R^{N}, N\ge 3$, in presence of a singular external potential.

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