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
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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.
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页码：133 / 146
页数：14
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