Global existence for the defocusing nonlinear Schrödinger equations with limit periodic initial data

Tadahiro Oh

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arXiv · 1502.02258

Global existence for the defocusing nonlinear Schrödinger equations with limit periodic initial data

Tadahiro Oh

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Abstract

We consider the Cauchy problem for the defocusing nonlinear Schrödinger 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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Tadahiro Oh. 2015-02-08. Global existence for the defocusing nonlinear Schrödinger equations with limit periodic initial data. https://arxiv.org/abs/1502.02258

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