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arXiv · 2601.20392

Long-time Strichartz estimates on 3D waveguide with applications

Yangkendi Deng·Boning Di·Jiao Ma·Dunyan Yan·Kailong Yang
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Abstract

We study long-time Strichartz estimates for the Schr\"{o}dinger equation on waveguide manifolds, and use them to establish upper bounds on the growth of Sobolev norms for the nonlinear Schr\"{o}dinger equation on three-dimensional waveguides.

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Yangkendi Deng, Boning Di, Jiao Ma, Dunyan Yan, Kailong Yang. 2026-01-28. Long-time Strichartz estimates on 3D waveguide with applications. https://arxiv.org/abs/2601.20392

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