Exact Control for Schr\"odinger Equation on Torus

Pure Appl. Analysis 3 (2021) 387-401 For standard torus $\mathbb{T}^2=\mathbb{R}^2/\mathbb{Z}^2$, we prove observability for free Schr\"odinger equation from a ball of radius $\epsilon$ with explicit dependence of the observability constant on $\epsilon$.

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Bibliographic Details
Main Author Tao, Zhongkai
Format Journal Article
LanguageEnglish
Published 02.01.2020
Subjects
Mathematics - Analysis of PDEs
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Summary:Pure Appl. Analysis 3 (2021) 387-401 For standard torus $\mathbb{T}^2=\mathbb{R}^2/\mathbb{Z}^2$, we prove observability for free Schr\"odinger equation from a ball of radius $\epsilon$ with explicit dependence of the observability constant on $\epsilon$.
DOI:10.48550/arxiv.2001.00690