Hardy's uncertainty principle, convexity and Schrodinger evolutions

被引：1

作者：

Escauriaza, L. ^{[1
]}

Kenig, C. E. ^{[2
]}

Ponce, G. ^{[3
]}

Vega, L. ^{[1
]}

机构：

[1] Univ Basque Country, EHU, Dept Matemat, E-48080 Bilbao, Spain

[2] Univ Chicago, Dept Math, Chicago, IL 60637 USA

[3] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2008年 / 10卷 / 04期

基金：

美国国家科学基金会;

关键词：

Schrodinger evolutions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the logarithmic convexity of certain quantities, which measure the quadratic exponential decay at infinity and within two characteristic hyperplanes of solutions of Schrodinger evolutions. As a consequence we obtain some uniqueness results that generalize (a weak form of) Hardy's version of the uncertainty principle. We also obtain corresponding results for heat evolutions.

引用

页码：883 / 907

页数：25

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