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Global Well-Posedness of the Energy-Critical Defocusing NLS on R×T3

Author(s): Ionescu, Alexandru D; Pausader, Benoit

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Abstract: We prove global well-posedness in H1 for the energy-critical defocusing initial-value problem (i∂t+Δx)u=u|u|2,u(0)=ϕ,(i∂t+Δx)u=u|u|2,u(0)=ϕ, in the semiperiodic setting x∈R×T3x∈R×T3 .
Publication Date: Jun-2012
Electronic Publication Date: 5-May-2012
Citation: Ionescu, Alexandru D, Pausader, Benoit. (2012). Global Well-Posedness of the Energy-Critical Defocusing NLS on. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 312 (781 - 831. doi:10.1007/s00220-012-1474-3
DOI: doi:10.1007/s00220-012-1474-3
ISSN: 0010-3616
Pages: 781 - 831
Type of Material: Journal Article
Journal/Proceeding Title: COMMUNICATIONS IN MATHEMATICAL PHYSICS
Version: Author's manuscript



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