Global solutions for 2D quadratic Schrödinger equations

P. Germain; N. Masmoudi; J. Shatah

doi:10.1016/j.matpur.2011.09.008

Global solutions for 2D quadratic Schrödinger equations

P. Germain, N. Masmoudi, J. Shatah

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

Abstract

We prove global existence and scattering for a class of quadratic Schrödinger equations in dimension 2 with small and localized data. The proof relies on the idea of space-time resonance.

Original language	English (US)
Pages (from-to)	505-543
Number of pages	39
Journal	Journal des Mathematiques Pures et Appliquees
Volume	97
Issue number	5
DOIs	https://doi.org/10.1016/j.matpur.2011.09.008
State	Published - May 2012

Keywords

Scattering
Schrödinger quadratic equations
Space-time resonance

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1016/j.matpur.2011.09.008

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title = "Global solutions for 2D quadratic Schr{\"o}dinger equations",

abstract = "We prove global existence and scattering for a class of quadratic Schr{\"o}dinger equations in dimension 2 with small and localized data. The proof relies on the idea of space-time resonance.",

keywords = "Scattering, Schr{\"o}dinger quadratic equations, Space-time resonance",

author = "P. Germain and N. Masmoudi and J. Shatah",

year = "2012",

month = may,

doi = "10.1016/j.matpur.2011.09.008",

language = "English (US)",

volume = "97",

pages = "505--543",

journal = "Journal des Mathematiques Pures et Appliquees",

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AU - Germain, P.

AU - Masmoudi, N.

AU - Shatah, J.

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AB - We prove global existence and scattering for a class of quadratic Schrödinger equations in dimension 2 with small and localized data. The proof relies on the idea of space-time resonance.

KW - Scattering

KW - Schrödinger quadratic equations

KW - Space-time resonance

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JO - Journal des Mathematiques Pures et Appliquees

JF - Journal des Mathematiques Pures et Appliquees

IS - 5

ER -

Global solutions for 2D quadratic Schrödinger equations

Abstract

Keywords

ASJC Scopus subject areas

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