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arXiv · 2110.12209

Global ultradifferentiable hypoellipticity on compact manifolds

Fernando de Ávila Silva·Eliakim Cleyton Machado
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Abstract

We study the global hypoellipticity problem for certain linear operators in Komatsu classes of Roumieu and Beurling type on compact manifolds. We present an approach by combining a characterization of these spaces via eigenfuction expansions, generated by an elliptic operator, and the analysis of matrix-symbols obtained by these expansions.

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Fernando de Ávila Silva, Eliakim Cleyton Machado. 2021-10-23. Global ultradifferentiable hypoellipticity on compact manifolds. https://arxiv.org/abs/2110.12209

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