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J. Colliander, M. Keel, G. Stafflani, H. Takaoka and T. Tao, “Global Well-Posedness and Scattering in the Energy Space for the Critical Nonlinear Schrodinger Equation in R3,” Analysis of PDEs.

has been cited by the following article:

• TITLE: Stability Solution of the Nonlinear Schrödinger Equation

  AUTHORS: Mujahid Abd Elmjed M-Ali

  KEYWORDS: NLS; Wellposed

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.2 No.2, June 13, 2013

  ABSTRACT: In this paper we discuss stability theory of the mass critical, mass-supercritical and energy-subcritical of solution to the nonlinear Schrodinger equation. In general, we take care in developing a stability theory for nonlinear Schrodinger equation. By stability, we discuss the property: the approximate solution to nonlinear Schrodinger equation obeying with e small in a suitable space and small in and then there exists a veritable solution u to nonlinear Schrodinger equation which remains very close to in critical norms.