A Gevrey differential complex on the torus
PLD da Silva, A Meziani - Journal of Fourier Analysis and Applications, 2020 - Springer
PLD da Silva, A Meziani
Journal of Fourier Analysis and Applications, 2020•SpringerTo a system of n closed one-forms on the torus T^ m+ n T m+ n, we associate a differential
complex and compute the induced cohomology groups in the s-Gevrey category, provided
that a related matrix of periods satisfies a Diophantine condition. Also, we present a
complete characterization for the s-global hypoellipticity at the level of q-forms for q ≥ 0 q≥
0.
complex and compute the induced cohomology groups in the s-Gevrey category, provided
that a related matrix of periods satisfies a Diophantine condition. Also, we present a
complete characterization for the s-global hypoellipticity at the level of q-forms for q ≥ 0 q≥
0.
Abstract
To a system of n closed one-forms on the torus , we associate a differential complex and compute the induced cohomology groups in the s-Gevrey category, provided that a related matrix of periods satisfies a Diophantine condition. Also, we present a complete characterization for the s-global hypoellipticity at the level of q-forms for .
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