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arXiv · 2109.11341

Global wellposedness of NLS in $H^1(\mathbb{R}) + H^s(\mathbb{T})$

Friedrich Klaus·Peer Kunstmann
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Abstract

We show global wellposedness for the defocusing cubic nonlinear Schr\"odinger equation (NLS) in $H^1(\mathbb{R}) + H^{3/2+}(\mathbb{T})$, and for the defocusing NLS with polynomial nonlinearities in $H^1(\mathbb{R}) + H^{5/2+}(\mathbb{T})$. This complements local results for the cubic NLS and global results for the quadratic NLS in this hybrid setting.

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Friedrich Klaus, Peer Kunstmann. 2021-09-23. Global wellposedness of NLS in $H^1(\mathbb{R}) + H^s(\mathbb{T})$. https://arxiv.org/abs/2109.11341

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