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arXiv · 2609.10005

Global well-posedness for the derivative nonlinear Schr\"odinger equation on the circle

Hajer Bahouri·Galina Perelman
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Abstract

We consider the derivative nonlinear Schr\"odinger equation on the circle, and prove that it is globally well-posed in the Sobolev space $H^1(\TT)$.

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Hajer Bahouri, Galina Perelman. 2026-09-09. Global well-posedness for the derivative nonlinear Schr\"odinger equation on the circle. https://arxiv.org/abs/2609.10005

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