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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