Analytic hypoellipticity in dimension two
泛函分析
2016-09-06 v1
摘要
A simple geometric condition is sufficient for analytic hypoellipticity of sums of squares of two vector fields in . This condition is proved to be necessary for generic vector fields and for various special cases, and to be both necessary and sufficient for a closely related family of operators.
引用
@article{arxiv.math/9602209,
title = {Analytic hypoellipticity in dimension two},
author = {Michael Christ},
journal= {arXiv preprint arXiv:math/9602209},
year = {2016}
}