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S. Keraani, “On the Defect of Compactness for the Strichartz Estimates of the Schrodinger Equation,” Journal of Differential Equations, Vol. 175, No. 2, 2001, pp. 353- 392. doi:10.1006/jdeq.2000.3951

has been cited by the following article:

• TITLE: Scattering of the Radial Focusing Mass-Supercritical and Energy-Subcritical Nonlinear Schrödinger Equation in 3D

  AUTHORS: Mujahid Abd Elmjed M-Ali, Amadu Fullah Kamara

  KEYWORDS: NLS; Blows-Up in Finite Time; Supremum; Precompactness

  JOURNAL NAME: Advances in Pure Mathematics, Vol.3 No.1A, January 30, 2013

  ABSTRACT: This paper studies the global behavior to 3D focusing nonlinear Schrodinger equation (NLS), the scaling index here is (0sc1), which is the mass-supercritical and energy-subcritical, and we prove under some condition the solution u(t) is globally well-posed and scattered. We also show that the solution “blows-up in finite time” if the solution is not globally defined, as t→T we can provide a depiction of the behavior of the solution, where T is the “blow-up time”.