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.