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arXiv:1206.1832 [math.AP]AbstractReferencesReviewsResources

Soliton dynamics of NLS with singular potentials

Claudio Bonanno, Marco Ghimenti, Marco Squassina

Published 2012-06-08Version 1

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.

Comments: 23 pages
Categories: math.AP, math.DS
Subjects: 35D99, 35J62, 58E05, 35J70
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