Stability Solution of the Nonlinear Schrödinger Equation

Mujahid Abd Elmjed M-Ali

Department of Mathematics, Faculty of Education, Kassala University, Kassala, Sudan.

DOI: 10.4236/ijmnta.2013.22015                

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.

Keywords

NLS; Wellposed

Conflicts of Interest

The authors declare no conflicts of interest.

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