On the semi-classical limit for the nonlinear Schrodinger equation

Details On the semi-classical limit for the nonlinear Schrodinger equation On the semi-classical limit for the nonlinear Schrodinger equation

2006-12-18

arxiv.org/abs/math/0612518v1

Stationary and Time Dependent Gross-Pitaevskii Equations, (2008) 105-127

Mathematics

Analysis of PDEs

22 pages

Scientific paper

We review some results concerning the semi-classical limit for the nonlinear
Schrodinger equation, with or without an external potential. We consider
initial data which are either of the WKB type, or very concentrated as the
semi-classical parameter goes to zero. We sketch the techniques used according
to various frameworks, and point out some open problems.

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