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arXiv · 2501.03414

Global hypoellipticity and solvability for a class of evolution operators in time-periodic weighted Sobolev spaces

Fernando de Ávila Silva·Matteo Bonino·Sandro Coriasco
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Abstract

We study the hypoellipticity and solvability properties of a class of time-periodic evolution operators, with coefficients globally defined on $\mathbb{R}^d$ and growing polynomially with respect to the space variable. To this aim, we introduce a class of time-periodic weighted Sobolev spaces, whose elements are characterised in terms of suitable Fourier expansions, associated with elliptic operators.

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Fernando de Ávila Silva, Matteo Bonino, Sandro Coriasco. 2025-01-06. Global hypoellipticity and solvability for a class of evolution operators in time-periodic weighted Sobolev spaces. https://arxiv.org/abs/2501.03414

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