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

页码：766 / 771

页数：6

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