Chapitre D'ouvrage Année : 2008

On the semi-classical limit for the nonlinear Schrodinger equation

Rémi Carles

Résumé

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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Dates et versions

hal-00120859 , version 1 (18-12-2006)

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Rémi Carles. On the semi-classical limit for the nonlinear Schrodinger equation. A. Farina and J.-C. Saut. Stationary and Time Dependent Gross-Pitaevskii Equations, Amer. Math. Soc., pp.105-127, 2008, Contemp. Math. 473. ⟨hal-00120859⟩

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