UNIQUE CONTINUATION FOR THE MAGNETIC SCHRODINGER OPERATOR WITH SINGULAR POTENTIALS

被引：3

作者：

Arrizabalaga, Naiara ^{[1
]}

Zubeldia, Miren ^{[2
]}

机构：

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

[2] Univ Helsinki, Dept Math & Stat, FI-00014 Helsinki, Finland

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 08期

基金：

欧洲研究理事会;

关键词：

Unique continuation theorem; Carleman estimates; magnetic Schrodinger operator; singular potentials; ELECTROMAGNETIC HELMHOLTZ-EQUATION; DIFFERENTIAL-EQUATIONS; INEQUALITIES; THEOREM;

D O I：

10.1090/proc12728

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study unique continuation theorems for the magnetic Schrodinger equation via Carleman estimates. We use integration by parts techniques in order to show these estimates. We consider electric and magnetic potentials with strong singularities at the origin and some decay at infinity.

引用

页码：3487 / 3503

页数：17

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