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Global Well-Posedness of the Energy-Critical Defocusing NLS on $${mathbb{R} times mathbb{T}^3}$$ |
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| Authors: | Alexandru?D.?Ionescu mailto:aionescu@math.princeton.edu" title=" aionescu@math.princeton.edu" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Benoit?Pausader |
| Affiliation: | 1.Department of Mathematics,Princeton University,Princeton,USA;2.Department of Mathematics,Brown University,Providence,USA |
| Abstract: | We prove global well-posedness in H 1 for the energy-critical defocusing initial-value problem ({(ipartial_t+Delta_x)u=u|u|^2,quad u(0)=phi,}) in the semiperiodic setting ({xinmathbb{R} times mathbb{T}^3}) . |
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