UNIQUE CONTINUATION PROPERTIES FROM ONE TIME FOR HYPERBOLIC SCHRODINGER EQUATIONS

被引：0

作者：

Barcelo, Juan A. ^{[1
]}

Cassano, Biagio ^{[2
]}

Fanelli, Luca ^{[3
]}

机构：

[1] Univ Politecn Madrid, ETSI Caminos, Calle Prof Aranguren 3, E-28040 Madrid, Spain

[2] Univ Campania L Vanvitelli, Dipartimento Matemat Fis, I-81100 Caserta, Italy

[3] IKERBASQUE Basque Fdn Sci, Basque Ctr Appl Math BCAM, Bilbao 48009, Spain

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2024年 / 56卷 / 06期

关键词：

hyperbolic Schro; dinger equation; uncertainty principle; Carleman inequalities; magnetic potentials; HARDY UNCERTAINTY PRINCIPLE; CONVEXITY;

D O I：

10.1137/23M1578218

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate properties of unique continuation for hyperbolic Schro"\dinger equations with time-dependent complex-valued electric fields and time-independent real magnetic fields. We show that positive masses inside of a bounded region at a single time propagate outside the region and prove gaussian lower bounds for the solutions, provided a suitable average in space-time cylinders is taken.

引用

页码：7417 / 7438

页数：22

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