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Global existence for the defocusing nonlinear Schrödinger equations with limit periodic initial data (1502.02258v1)
Published 8 Feb 2015 in math.AP
Abstract: We consider the Cauchy problem for the defocusing nonlinear Schr\"odinger equations (NLS) on the real line with a special subclass of almost periodic functions as initial data. In particular, we prove global existence of solutions to NLS with limit periodic functions as initial data under some regularity assumption.
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