TITLE:
The Mass-Critical for the Nonlinear Schrödinger Equation in d = 2
AUTHORS:
Mujahid Abd Elmjed M-Ali
KEYWORDS:
NLS; Well Posed
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.3 No.5,
August
28,
2013
ABSTRACT:
This paper studies the global behavior defocusing nonlinear
Schrodinger equation in dimension d = 2, and we will discuss the case . This means that the
solutions , and called critical solution. We show that u scatters forward and backward to a free
solution and the solution is globally well posed.