C. E. Kenig and F. Merle, “Global Well-Posedness, Scattering, and Blow-Up for the Energy-Critical Focusing Nonlinear Schrodinger Equation in the Radial Case,” Inventiones Mathematicae, Vo. 166, No. 3, 2006, pp. 645- 675.

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”.