We study $\omega$-regularity of the solutions of certain operators that are globally $C^\infty$-hypoelliptic in the N-dimensional torus. We also apply these results to prove the global $\omega$-regularity for some classes of sublaplacians. In this way, we extend previous work in the setting of analytic and Gevrey classes. Different examples on local and global $\omega$-hypoellipticity are also given.
Global regularity in ultradifferentiable classes
ALBANESE, Angela Anna;
2014-01-01
Abstract
We study $\omega$-regularity of the solutions of certain operators that are globally $C^\infty$-hypoelliptic in the N-dimensional torus. We also apply these results to prove the global $\omega$-regularity for some classes of sublaplacians. In this way, we extend previous work in the setting of analytic and Gevrey classes. Different examples on local and global $\omega$-hypoellipticity are also given.File in questo prodotto:
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