Global Gevrey hypoellipticity for the twisted Laplacian on forms
Analysis of PDEs
2017-08-11 v1
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.
Cite
@article{arxiv.1708.03095,
title = {Global Gevrey hypoellipticity for the twisted Laplacian on forms},
author = {Wei-Xi Li and Alberto Parmeggiani and Yan-Lin Wang},
journal= {arXiv preprint arXiv:1708.03095},
year = {2017}
}