The energy-critical defocusing nls on T{double-struck} 3

Alexandru D. Ionescu, Benoit Pausader

Research output: Contribution to journalArticle

31 Scopus citations

Abstract

We prove global well-posedness in H 1.(F{double-struck} 3) for the energy-critical defocusing initialvalue problem i∂ t + Δ)u = u|u| 4, u(0) = φ.

Original languageEnglish (US)
Pages (from-to)1581-1612
Number of pages32
JournalDuke Mathematical Journal
Volume161
Issue number8
DOIs
StatePublished - Jul 31 2012

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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