arXiv:math/0612518 Abstract

arXiv:math/0612518 [math.AP]Abstract References Reviews Resources

On the semi-classical limit for the nonlinear Schrodinger equation

Published 2006-12-18Version 1

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.

Comments: 22 pages

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

Categories: math.AP, math-ph, math.MP

Subjects: 35A35, 35B05, 35B40, 35Q55, 81Q20

Keywords: nonlinear schrodinger equation, semi-classical limit, open problems, wkb type, initial data

Tags: journal article

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