Uniqueness properties for discrete equations and Carleman estimates

被引：10

作者：

Fernandez Bertolin, Aingeru ^{[1
,2
]}

Vega, Luis ^{[1
,3
]}

机构：

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

[2] Univ Bordeaux, IMB, UMR 5251, F-33400 Talence, France

[3] BCAM, Alameda Mazarredo 14, Bilbao 48009, Spain

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2017年 / 272卷 / 11期

关键词：

Discrete Hardy uncertainty principle; Carleman estimates; Unique continuation; HARDY UNCERTAINTY PRINCIPLE; SCHRODINGER EVOLUTIONS;

D O I：

10.1016/j.jfa.2017.03.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using Carleman estimates, we give a lower bound for solutions to the discrete Schrodinger equation in both dynamic and stationary settings that allows us to prove uniqueness results, under some assumptions on the decay of the solutions. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：4853 / 4869

页数：17

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