Abstract
We study the global Cauchy problem for the mass critical nonlinear Schrodinger equations. We prove the global existence of analytic solutions in both space and time variables for sufficiently small and exponentially decaying Cauchy data. The method of proof depends on the Leibniz rule for the generator of pseudo-conformal transforms at the L2 critical level.
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More From: Nonlinear Differential Equations and Applications NoDEA
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