强不变算子的整体亚椭圆性
Global Hypoellipticity for Strongly Invariant Operators
摘要：
本文通过分析不变算子$P$的矩阵符号关于固定椭圆算子在无穷远处的行为，得到了$P$是全局亚椭圆算子的一个充要条件.我们还研究了$P$的全局亚椭圆性与全局亚椭圆估计之间的关系。
英文摘要：
In this note, by analyzing the behavior at infinity of the matrix symbol of an invariant operator $P$ with respect to a fixed elliptic operator, we obtain a necessary and sufficient condition to guarantee that $P$ is globally hypoelliptic. We also investigate relations between the global hypoellipticity of $P$ and global subelliptic estimates.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
