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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.

The Mass-Critical for the Nonlinear Schr&#246;dinger Equation in &lt;i&gt;d&lt;/i&gt; = 2

The Mass-Critical for the Nonlinear Schrödinger Equation in <i>d</i> = 2