4.5 Article

GLOBAL WELL-POSEDNESS AND SCATTERING FOR THE DEFOCUSING, L2-CRITICAL, NONLINEAR SCHRODINGER EQUATION WHEN d=1

Journal

AMERICAN JOURNAL OF MATHEMATICS
Volume 138, Issue 2, Pages 531-569

Publisher

JOHNS HOPKINS UNIV PRESS
DOI: 10.1353/ajm.2016.0016

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Funding

  1. NSF [1103914]
  2. Division Of Mathematical Sciences
  3. Direct For Mathematical & Physical Scien [1103914] Funding Source: National Science Foundation

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In this paper we prove global well-posedness and scattering for the defocusing, one dimensional mass-critical nonlinear Schrodinger equation. We make use of a long-time Strichartz estimate and a frequency localized Morawetz estimate. This continues work begun in earlier papers by the author for dimensions d >= 3 and d = 2.

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