A remark on global well-posedness of the derivative nonlinear Schrödinger equation on the circle

Razvan Mosincat; Tadahiro Oh

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arXiv · 1502.02261

A remark on global well-posedness of the derivative nonlinear Schrödinger equation on the circle

Razvan Mosincat·Tadahiro Oh

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Abstract

In this note, we consider the derivative nonlinear Schrödinger equation on the circle. In particular, by adapting Wu's recent argument to the periodic setting, we prove its global well-posedness in $H^1(\mathbb T)$, provided that the mass is less than $4π$. Moreover, this mass threshold is independent of spatial periods.

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Razvan Mosincat, Tadahiro Oh. 2015-07-06. A remark on global well-posedness of the derivative nonlinear Schrödinger equation on the circle. https://arxiv.org/abs/1502.02261

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