On the Global Existence of Rough Solutions of the 5 Cubic Defocusing Schrödinger Equation in R
نویسنده
چکیده
We consider the cubic defocusing Schrödinger equation in two space dimen15 sions and prove that if the initial data are in H1/2, then there exists a global solution in time. The proof combines the argument from [5] with some new correlation estimates 17 for the Schrödinger equation.
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