Type: Article
Publication Date: 2012-05-22
Citations: 85
DOI: https://doi.org/10.1215/00127094-1593335
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We prove global well-posedness in H 1 (T 3 ) for the energy-critical defocusing initial-value problem (i∂ t + ∆)u = u|u| 4 , u(0) = φ.