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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Semiclassical limit of the nonlinear
Schrödinger equation in small time

Author: E. Grenier
Journal: Proc. Amer. Math. Soc. 126 (1998), 523-530
MSC (1991): Primary 35Q55, 35C20
MathSciNet review: 1425123
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Abstract | References | Similar Articles | Additional Information

Abstract: We study the semi-classical limit of the nonlinear Schrödinger equation for initial data with Sobolev regularity, before shocks appear in the limit system, and in particular the validity of the WKB method.

References [Enhancements On Off] (What's this?)

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Additional Information

E. Grenier
Affiliation: Laboratoire d’Analyse Numérique, CNRS - URA 189, Université Paris 6, 4 place Jussieu, 75252 Paris Cedex 05, France

PII: S 0002-9939(98)04164-1
Keywords: Nonlinear Schr\"{o}dinger equations, semiclassical limit
Received by editor(s): August 13, 1996
Communicated by: Jeffrey B. Rauch
Article copyright: © Copyright 1998 American Mathematical Society