We investigate the validity of a soliton dynamics behavior in the semi-classical limit for the nonlinear Schr¨odinger equation in R^n , n ≥ 3, in presence of a singular external potential.
Bonanno, C., Ghimenti, M., Squassina, M., Soliton dynamics of NLS with singular potentials, <<DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS>>, 2013; 10 (2): 177-207. [doi:10.4310/DPDE.2013.v10.n2.a4] [http://hdl.handle.net/10807/87895]
Soliton dynamics of NLS with singular potentials
Squassina, MarcoUltimo
2013
Abstract
We investigate the validity of a soliton dynamics behavior in the semi-classical limit for the nonlinear Schr¨odinger equation in R^n , n ≥ 3, in presence of a singular external potential.
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