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Global Gevrey hypoellipticity for the twisted Laplacian on forms

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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… Click to show full 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.

Keywords: hypoellipticity; global gevrey; laplacian forms; hypoellipticity twisted; gevrey hypoellipticity; twisted laplacian

Journal Title: Journal of Pseudo-Differential Operators and Applications
Year Published: 2017

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