Carleman estimates for sub-Laplacians on Carnot groups

被引：1

作者：

Arya, Vedansh ^{[1
]}

Kumar, Dharmendra ^{[2
]}

机构：

[1] Univ Jyvaskyla, Dept Math & Stat, Jyvaskyla, Finland

[2] Indian Inst Sci, Dept Math, Bangalore, India

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2023年 / 13卷 / 04期

关键词：

Carleman estimate; Carnot groups; Unique continuation; QUANTITATIVE UNIQUENESS; EQUATIONS; FREQUENCY;

D O I：

10.1007/s13324-023-00818-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we establish a new Carleman estimate with singular weights for the sub Laplacian on a Carnot group G for functions satisfying the discrepancy assumption in (2.16) below. We use such an estimate to derive a sharp vanishing order estimate for solutions to stationary Schrodinger equations.

引用

页数：17

共 29 条

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