CERTAIN SUMS OF SQUARES OF VECTOR-FIELDS FAIL TO BE ANALYTIC HYPOELLIPTIC

被引：35
作者：
CHRIST, M
机构：
[1] Department of Mathematics, UCLA, Los Angeles
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 1991年 / 16卷 / 10期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1080/03605309108820818
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
If m is-an-element-of {3,4,5, ...} then the partial differential operator partial derivative x2 + (partial derivative y - x(m-1) partial derivative t)2 in R3 fails to be analytic hypoelliptic. This results from the existence of parameters zeta is-an-element-of C such that the ordinary differential equation f" = (zeta - x(m-1))2 f has a nontrivial solution which remains bounded as x --> +/- infinity.
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收藏
页码：1695 / 1707
页数：13
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