IJMNTA  Vol.2 No.2 , June 2013
Stability Solution of the Nonlinear Schrödinger Equation
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

Cite this paper
M. M-Ali, "Stability Solution of the Nonlinear Schrödinger Equation," International Journal of Modern Nonlinear Theory and Application, Vol. 2 No. 2, 2013, pp. 122-129. doi: 10.4236/ijmnta.2013.22015.
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