论二阶次椭圆算子的平坦性传播

IF 2.4 2区数学 Q1 MATHEMATICS Journal of Differential Equations Pub Date : 2024-10-30 DOI:10.1016/j.jde.2024.10.034

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引用次数: 0

摘要

对于一类具有实解析系数的次椭圆算子，我们提供了一个确保部分解析性结果的准则。因此，即使 "椭圆 "强唯一延续（即在某一点上无穷阶消失的同次方程解在该点附近为零）失效，零点 "传播 "的较弱形式仍然成立。

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On the propagation of flatness for second order hypoelliptic operators

For a class of hypoelliptic operators with real-analytic coefficients, we provide a criterion ensuring a partial analyticity result. As a consequence, even when the “elliptic” strong unique continuation (i.e. a solution of the homogeneous equation which vanishes of infinite order at a point is zero near such a point) fails, a weaker form of “propagation” of zeroes still holds.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics