Remark on unique continuation for higher powers of the Laplace operator

被引：3
|
作者：
Seo, Ihyeok [1 ]
机构：
[1] Korea Inst Adv Study, Sch Math, Seoul 130722, South Korea
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 397卷 / 02期
关键词：
Unique continuation; Laplace operator; SCHRODINGER-OPERATORS; COUNTEREXAMPLES;
D O I：
10.1016/j.jmaa.2012.08.035
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
There are unique continuation results [2,5] for the differential inequality vertical bar Delta(mu)u(x)vertical bar <= vertical bar V(x)u(x)vertical bar, mu is an element of N, when V is an element of L-loc(d/2 mu)(R-d), d > 2 mu. In this paper we obtain a result for the case d = 2 mu. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：766 / 771
页数：6
相关论文
共 50 条
12345