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arXiv · 1708.03095

Global Gevrey hypoellipticity for the twisted Laplacian on forms

Wei-Xi Li·Alberto Parmeggiani·Yan-Lin Wang
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Abstract

We study in this paper the global hypoellipticity property in the Gevrey category for the generalized twisted Laplacian on forms. Different from the 0-form case, where the twisted Laplacian is a scalar operator, this is a system of differential operators when acting on forms, each component operator being elliptic locally and degenerate globally. We obtain here the global hypoellipticity in anisotropic Gevrey space.

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Wei-Xi Li, Alberto Parmeggiani, Yan-Lin Wang. 2017-08-10. Global Gevrey hypoellipticity for the twisted Laplacian on forms. https://arxiv.org/abs/1708.03095

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