TITLE:
On the Stability of the Defocusing Mass-Critical Nonlinear Schrödinger Equation
AUTHORS:
Guangqing Zhang
KEYWORDS:
Mass-Critical, Stability, Nonlinear Schrödinger Equation
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.5 No.3,
September
16,
2016
ABSTRACT: We consider the defocusing mass-critical nonlinear Schr?dinger equation in the exterior domain in (). By analyzing Strichartz estimate and utilizing the inductive hypothesis method, we prove the stability for all initial data in .