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Stability Solution of the Nonlinear Schrödinger Equation
Department of Mathematics, Faculty of Education, Kassala University, Kassala, Sudan
- 1 Department of Mathematics, Faculty of Education, Kassala University, Kassala, Sudan
International Journal of Modern Nonlinear Theory and Application·Volume 02 (2013)·Pages 122–129·Published 13 June 2013·DOI10.4236/ijmnta.2013.22015
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Abstract
In this paper we discus s 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 Schr o dinger 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 exist s a veritable solution u to nonlinear Schrodinger equation which remains very close to in critical norms.
KeywordsNLSWellposed
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