Carleman estimates for Baouendi-Grushin operators with applications to quantitative uniqueness and strong unique continuation

被引：5

作者：

Banerjee, Agnid ^{[1
]}

Garofalo, Nicola ^{[2
]}

Manna, Ramesh ^{[1
]}

机构：

[1] Tata Inst Fundamental Res, Ctr Applicable Math, Bangalore, Karnataka, India

[2] Univ Padua, DICEA, Padua, Italy

来源：

APPLICABLE ANALYSIS | 2022年 / 101卷 / 10期

关键词：

Baouendi-Grushin operators; strong unique continuation; PARTIAL-DIFFERENTIAL-EQUATIONS; ELLIPTIC-EQUATIONS; SCHRODINGER-EQUATIONS; OBSTACLE PROBLEM; VANISHING ORDER; FREE-BOUNDARY; REGULARITY; FREQUENCY; INTEGRALS;

D O I：

10.1080/00036811.2020.1713314

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish some new L-2 - L-2 Carleman estimates for the Baouendi- Grushin operatorsB., in Equation (1). We apply such estimates to obtain: (i) an extension of the Bourgain-Kenig quantitative unique continuation and (ii) the strong unique continuation property for some degenerate sublinear equations.

引用

页码：3667 / 3688

页数：22

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