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math.AP2025
Global hypoellipticity for a class of time-periodic operators on asymptotically Euclidean manifolds
Fernando de Ávila Silva, Matteo Bonino, Sandro Coriasco
We introduce time-periodic Gevrey-Sobolev-Kato spaces on asymptotically Euclidean manifolds and study their characterisation throughout Fourier expansions associated with suitable…
math.AP2025
Global hypoellipticity and solvability for a class of evolution operators in time-periodic weighted Sobolev spaces
Fernando de Ávila Silva, Matteo Bonino, Sandro Coriasco
We study the hypoellipticity and solvability properties of a class of time-periodic evolution operators, with coefficients globally defined on and growing polynomial…