Sharp counterexamples in unique continuation for second order elliptic equations

被引：0

作者：

Koch, H

Tataru, D

机构：

[1] Univ Dortmund, Fachbereich Math, D-44221 Dortmund, Germany

[2] UC Berkeley, Dept Math, Berkeley, CA USA

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2002年 / 542卷

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct nontrivial solutions with compact support for the elliptic equation Deltau = Vu with V epsilon L(P), p < n/2 or V epsilon L(w)(n/2) for n greater than or equal to 3 and with V epsilon L(1) for n = 2. The same method also yields nontrivial solutions with compact support for the elliptic equation Deltau = Wdelu with W epsilon L(q), p < n or W epsilon L(w)(n) for n greater than or equal to 2.

引用

页码：133 / 146

页数：14

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