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.
Wei-Xi, L.i., Alberto, P., Yan-Lin, W. (2018). Global Gevrey hypoellipticity for the twisted Laplacian on forms. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 9(2), 151-171 [10.1007/s11868-017-0232-x].
Global Gevrey hypoellipticity for the twisted Laplacian on forms
Alberto Parmeggiani;
2018
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.File in questo prodotto:
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