The Mass-Critical for the Nonlinear Schrödinger Equation in d = 2 ()
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.
Share and Cite:
M. M-Ali, "The Mass-Critical for the Nonlinear Schrödinger Equation in
d = 2,"
Advances in Pure Mathematics, Vol. 3 No. 5, 2013, pp. 482-490. doi:
10.4236/apm.2013.35070.
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