Global Well-Posedness of the Energy-Critical Defocusing NLS on ℝ × T 3

Alexandru D. Ionescu; Benoit Pausader

doi:10.1007/s00220-012-1474-3

Global Well-Posedness of the Energy-Critical Defocusing NLS on ℝ × T ³

Alexandru D. Ionescu, Benoit Pausader

Mathematics

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

56 Scopus citations

Abstract

We prove global well-posedness in H ¹ for the energy-critical defocusing initial-value problem.

Original language	English (US)
Pages (from-to)	781-831
Number of pages	51
Journal	Communications In Mathematical Physics
Volume	312
Issue number	3
DOIs	https://doi.org/10.1007/s00220-012-1474-3
State	Published - Jun 2012

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/s00220-012-1474-3

Cite this

@article{4c04c5fbd58c4fb5a6c87de7a4ba220b,

title = "Global Well-Posedness of the Energy-Critical Defocusing NLS on ℝ × T 3 ",

abstract = "We prove global well-posedness in H 1 for the energy-critical defocusing initial-value problem.",

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

year = "2012",

month = jun,

doi = "10.1007/s00220-012-1474-3",

language = "English (US)",

volume = "312",

pages = "781--831",

journal = "Communications In Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - Global Well-Posedness of the Energy-Critical Defocusing NLS on ℝ × T 3

AU - Ionescu, Alexandru D.

AU - Pausader, Benoit

PY - 2012/6

Y1 - 2012/6

N2 - We prove global well-posedness in H 1 for the energy-critical defocusing initial-value problem.

AB - We prove global well-posedness in H 1 for the energy-critical defocusing initial-value problem.

UR - https://www.scopus.com/pages/publications/84861613125

UR - https://www.scopus.com/inward/citedby.url?scp=84861613125&partnerID=8YFLogxK

U2 - 10.1007/s00220-012-1474-3

DO - 10.1007/s00220-012-1474-3

M3 - Article

AN - SCOPUS:84861613125

SN - 0010-3616

VL - 312

SP - 781

EP - 831

JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 3

ER -

Global Well-Posedness of the Energy-Critical Defocusing NLS on ℝ × T ³

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this