The energy-critical defocusing NLS on T3

Alexandru D. Ionescu; Benoit Pausader

doi:10.1215/00127094-1593335

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1 June 2012 The energy-critical defocusing NLS on

{\mathbb{T}}^{3}

Alexandru D. Ionescu, Benoit Pausader

Abstract

We prove global well-posedness in $H^{1}({\mathbb{T}}^{3})$ for the energy-critical defocusing initial-value problem $\begin{eqnarray*}(i\partial_{t}+\Delta)u=u|u|^{4},\quad u(0)=\phi.\end{eqnarray*}$

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Alexandru D. Ionescu. Benoit Pausader. "The energy-critical defocusing NLS on ${\mathbb{T}}^{3}$ ." Duke Math. J. 161 (8) 1581 - 1612, 1 June 2012. https://doi.org/10.1215/00127094-1593335

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Published: 1 June 2012

First available in Project Euclid: 22 May 2012

zbMATH: 1245.35119

MathSciNet: MR2931275

Digital Object Identifier: 10.1215/00127094-1593335

Subjects:

Primary: 35Q55

Secondary: 42B37

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