We study the global Cauchy problem for the mass critical nonlinear Schrödinger 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.
- Analytic smoothing effect
- Global existence
- Nonlinear Schrödinger equation
ASJC Scopus subject areas
- Applied Mathematics