Global well-posedness of the energy-critical defocusing NLS on $\mathbb{R}\times\mathbb{T}^3$

Alexandru D. Ionescu; Benoit Pausader

arxiv: 1101.4527 · v2 · pith:7PJUVLXDnew · submitted 2011-01-24 · 🧮 math.AP

Global well-posedness of the energy-critical defocusing NLS on mathbb{R}timesmathbb{T}³

Alexandru D. Ionescu , Benoit Pausader This is my paper

classification 🧮 math.AP

keywords defocusingenergy-criticalequationglobalmathbbtimeswell-posednessbegin

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In this paper we prove global well-posedness in $H^1$ for the energy-critical defocusing initial-value problem \begin{equation*} (i\partial_t+\Delta_x)u=u|u|^2,\qquad u(0)=\phi, \end{equation*} in the semiperiodic setting $x\in\R\times\T^3$.

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Global well-posedness of the energy-critical defocusing NLS on mathbb{R}timesmathbb{T}³

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