Strong unique continuation properties of generalized Baouendi-Grushin operators

被引：18

作者：

Garofalo, Nicola

Vassilev, Dimiter

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47904 USA

[2] Univ Calif Riverside, Dept Math, Riverside, CA 92521 USA

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2007年 / 32卷 / 04期

基金：

美国国家科学基金会;

关键词：

Baouendi-Grushin operator; unique continuation;

D O I：

10.1080/03605300500532905

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper gives a quantitative control of the order of zero of a weak solution to perturbations of the Baouendi - Grushin operator, which generalizes the result due to Aronszaijn, Krzywicki, and Szarski valid for elliptic operators in divergence form with Lipschitz continuous coefficients.

引用

页码：643 / 663

页数：21

共 20 条

[1]

[Anonymous], MATH USSR SBORNIC

[2]

Aronszajn N., 1962, ARK MAT, V4, P417, DOI DOI 10.1007/BF02591624

[3] NONUNIQUE PROLONGATION OF SOLUTIONS OF SUM OF SQUARES OPERATORS [J].