Semiclassical limit of the nonlinear schrödinger equation in small time

E. Grenier

doi:10.1090/s0002-9939-98-04164-1

Semiclassical limit of the nonlinear schrödinger equation in small time

E. Grenier^*

^*Corresponding author for this work

CNRS

Research output: Contribution to journal › Article › peer-review

106 Citations (Scopus)

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.

Original language	English
Pages (from-to)	523-530
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	126
Issue number	2
DOIs	https://doi.org/10.1090/s0002-9939-98-04164-1
Publication status	Published - 1998
Externally published	Yes

Keywords

Nonlinear schrödinger equations
Semiclassical limit

Access to Document

10.1090/s0002-9939-98-04164-1

Cite this

@article{87d776a63c694b3fb875a5662ca9ae5a,

title = "Semiclassical limit of the nonlinear schr{\"o}dinger equation in small time",

abstract = "We study the semi-classical limit of the nonlinear Schr{\"o}dinger equation for initial data with Sobolev regularity, before shocks appear in the limit system, and in particular the validity of the WKB method.",

keywords = "Nonlinear schr{\"o}dinger equations, Semiclassical limit",

author = "E. Grenier",

year = "1998",

doi = "10.1090/s0002-9939-98-04164-1",

language = "English",

volume = "126",

pages = "523--530",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "2",

}

TY - JOUR

T1 - Semiclassical limit of the nonlinear schrödinger equation in small time

AU - Grenier, E.

PY - 1998

Y1 - 1998

N2 - 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.

AB - 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.

KW - Nonlinear schrödinger equations

KW - Semiclassical limit

UR - https://www.scopus.com/pages/publications/21944449213

U2 - 10.1090/s0002-9939-98-04164-1

DO - 10.1090/s0002-9939-98-04164-1

M3 - Article

AN - SCOPUS:21944449213

SN - 0002-9939

VL - 126

SP - 523

EP - 530

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 2

ER -

Semiclassical limit of the nonlinear schrödinger equation in small time

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this