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arXiv · 1902.08237

Global Hypoellipticity for Strongly Invariant Operators

Alexandre Kirilov·Wagner Augusto Almeida de Moraes
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Abstract

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.

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Alexandre Kirilov, Wagner Augusto Almeida de Moraes. 2019-02-21. Global Hypoellipticity for Strongly Invariant Operators. https://doi.org/10.1016/j.jmaa.2020.123878

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