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arXiv · 2311.18541

On a bilinear restriction estimate for Schr\"odinger equations on 2D waveguide

Yangkendi Deng
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Abstract

In this article, we prove a bilinear estimate for Schr\"odinger equations on 2d waveguide, $\mathbb{R}\times \mathbb{T}$. We hope it may be of use in the further study of concentration compactness for cubic NLS on $\mathbb{R}\times \mathbb{T}$.

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Yangkendi Deng. 2023-11-30. On a bilinear restriction estimate for Schr\"odinger equations on 2D waveguide. https://arxiv.org/abs/2311.18541

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