Quantitative Unique Continuation for Second Order Elliptic Operators with Singular Coefficients

被引：4

作者：

Tu Nguyen ^{[1
]}

机构：

[1] Vietnam Acad Sci & Technol, Inst Math, 18 Hoang Quoc Viet, Hanoi, Vietnam

来源：

VIETNAM JOURNAL OF MATHEMATICS | 2021年 / 49卷 / 04期

关键词：

Carleman estimate; Doubling inequality; Strong unique continuation;

D O I：

10.1007/s10013-020-00386-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish some quantitative strong unique continuation properties for solution of |Pu|<= C-1|x|(- 1)| backward difference u| + C-0|x|(- 2)|u| where P is a second order elliptic operator. As in (Rev. Mat. Iberoam. 27: 475-491, 9), our result is of quantitative nature but requires weaker conditions on the coefficients of P.

引用

页码：1001 / 1009

页数：9

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