The energy-critical defocusing nls on T{double-struck} 3

Alexandru D. Ionescu; Benoit Pausader

doi:10.1215/00127094-1593335

The energy-critical defocusing nls on T{double-struck} ³

Alexandru D. Ionescu
, Benoit Pausader

Mathematics

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

68 Scopus citations

Abstract

We prove global well-posedness in H ¹.(F{double-struck} ³) for the energy-critical defocusing initialvalue problem i∂ _t + Δ)u = u|u| ⁴, u(0) = φ.

Original language	English (US)
Pages (from-to)	1581-1612
Number of pages	32
Journal	Duke Mathematical Journal
Volume	161
Issue number	8
DOIs	https://doi.org/10.1215/00127094-1593335
State	Published - 2012

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1215/00127094-1593335

Cite this

@article{a1e56e42ad00477e88d5b173de96ab02,

title = "The energy-critical defocusing nls on T\{double-struck\} 3 ",

abstract = "We prove global well-posedness in H 1.(F\{double-struck\} 3) for the energy-critical defocusing initialvalue problem i∂ t + Δ)u = u|u| 4, u(0) = φ.",

author = "Ionescu, \{Alexandru D.\} and Benoit Pausader",

year = "2012",

doi = "10.1215/00127094-1593335",

language = "English (US)",

volume = "161",

pages = "1581--1612",

journal = "Duke Mathematical Journal",

issn = "0012-7094",

publisher = "Duke University Press",

number = "8",

}

TY - JOUR

T1 - The energy-critical defocusing nls on T{double-struck} 3

AU - Ionescu, Alexandru D.

AU - Pausader, Benoit

PY - 2012

Y1 - 2012

N2 - We prove global well-posedness in H 1.(F{double-struck} 3) for the energy-critical defocusing initialvalue problem i∂ t + Δ)u = u|u| 4, u(0) = φ.

AB - We prove global well-posedness in H 1.(F{double-struck} 3) for the energy-critical defocusing initialvalue problem i∂ t + Δ)u = u|u| 4, u(0) = φ.

UR - https://www.scopus.com/pages/publications/84864324252

UR - https://www.scopus.com/pages/publications/84864324252#tab=citedBy

U2 - 10.1215/00127094-1593335

DO - 10.1215/00127094-1593335

M3 - Article

AN - SCOPUS:84864324252

SN - 0012-7094

VL - 161

SP - 1581

EP - 1612

JO - Duke Mathematical Journal

JF - Duke Mathematical Journal

IS - 8

ER -

The energy-critical defocusing nls on T{double-struck} ³

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this