Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Semiclassical limit of the nonlinear Schrödinger equation in small time
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by E. Grenier
Proc. Amer. Math. Soc. 126 (1998), 523-530
DOI: https://doi.org/10.1090/S0002-9939-98-04164-1
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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
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Bibliographic Information
  • E. Grenier
  • Affiliation: Laboratoire d’Analyse Numérique, CNRS - URA 189, Université Paris 6, 4 place Jussieu, 75252 Paris Cedex 05, France
  • Email: grenier@ann.jussieu.fr
  • Received by editor(s): August 13, 1996
  • Communicated by: Jeffrey B. Rauch
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 523-530
  • MSC (1991): Primary 35Q55, 35C20
  • DOI: https://doi.org/10.1090/S0002-9939-98-04164-1
  • MathSciNet review: 1425123