Periodic nonlinear schrödinger equation in critical Hs(Tn) spaces

Yuzhao Wang

doi:10.1137/120871833

Periodic nonlinear schrödinger equation in critical Hs(Tn) spaces

Yuzhao Wang^*

^*Corresponding author for this work

Mathematics

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

Abstract

In this paper we prove some multilinear Strichartz estimates for solutions to the linear Schrödinger equation on the torus Tn. Then we apply them to get some well-posedness results for the periodic nonlinear Schrödinger equation in critical Hs(Tn) spaces.

Original language	English
Pages (from-to)	1691-1703
Number of pages	13
Journal	SIAM Journal on Mathematical Analysis
Volume	45
Issue number	3
DOIs	https://doi.org/10.1137/120871833
Publication status	Published - 2013

Keywords

Critical spaces
Global well-posedness
Multilinear Strichartz estimates
Periodic NLS

ASJC Scopus subject areas

Analysis
Computational Mathematics
Applied Mathematics

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10.1137/120871833

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title = "Periodic nonlinear schr{\"o}dinger equation in critical Hs(Tn) spaces",

abstract = "In this paper we prove some multilinear Strichartz estimates for solutions to the linear Schr{\"o}dinger equation on the torus Tn. Then we apply them to get some well-posedness results for the periodic nonlinear Schr{\"o}dinger equation in critical Hs(Tn) spaces.",

keywords = "Critical spaces, Global well-posedness, Multilinear Strichartz estimates, Periodic NLS",

author = "Yuzhao Wang",

year = "2013",

doi = "10.1137/120871833",

language = "English",

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AB - In this paper we prove some multilinear Strichartz estimates for solutions to the linear Schrödinger equation on the torus Tn. Then we apply them to get some well-posedness results for the periodic nonlinear Schrödinger equation in critical Hs(Tn) spaces.

KW - Critical spaces

KW - Global well-posedness

KW - Multilinear Strichartz estimates

KW - Periodic NLS

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U2 - 10.1137/120871833

DO - 10.1137/120871833

M3 - Article

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JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

IS - 3

ER -

Periodic nonlinear schrödinger equation in critical Hs(Tn) spaces

Abstract

Keywords

ASJC Scopus subject areas

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