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arXiv · 1901.01663

On Global-in-Time Strichartz Estimates for the Semiperiodic Schrödinger Equation

Alexander Barron
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Abstract

We prove global-in-time Strichartz-type estimates for the Schrödinger equation on manifolds of the form $\mathbb{R}^{n}\times \mathbb{T}^{d}$, where $\mathbb{T}^{d}$ is a $d$-dimensional torus. Our results generalize and improve a global space-time estimate for the Schrödinger equation on $\mathbb{R} \times \mathbb{T}^{2}$ due to Z. Hani and B. Pausader.

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Alexander Barron. 2019-10-15. On Global-in-Time Strichartz Estimates for the Semiperiodic Schrödinger Equation. https://doi.org/10.2140/apde.2021.14.1125

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