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arXiv · 2509.03745

Global hypoellipticity for a class of time-periodic operators on asymptotically Euclidean manifolds

Fernando de Ávila Silva·Matteo Bonino·Sandro Coriasco
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Abstract

We introduce time-periodic Gevrey-Sobolev-Kato spaces on asymptotically Euclidean manifolds and study their characterisation throughout Fourier expansions associated with suitable elliptic operators. As an application, we study the global hypoellipticity problem for a naturally associated class of time-periodic evolution equations.

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Fernando de Ávila Silva, Matteo Bonino, Sandro Coriasco. 2025-09-03. Global hypoellipticity for a class of time-periodic operators on asymptotically Euclidean manifolds. https://arxiv.org/abs/2509.03745

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