Global ultradifferentiable hypoellipticity on compact manifolds

DOI10.1007/s00013-022-01719-zzbMath1490.35106arXiv2110.12209OpenAlexW3210206658MaRDI QIDQ2140601

Eliakim Cleyton Machado, Fernando de Ávila Silva

Publication date: 23 May 2022

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.12209

zbMATH Keywords

invariant operatorscompact manifoldsFourier expansionsglobal hypoellipticityKomatsu classes

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Hypoelliptic equations (35H10) PDEs on manifolds (35R01)

Cites Work

• Global regularity and solvability of left-invariant differential systems on compact Lie groups
• Global regularity in ultradifferentiable classes
• Global properties of vector fields on compact Lie groups in Komatsu classes
• Global \(\mathcal{M}\)-hypoellipticity, global \(\mathcal{M}\)-solvability and perturbations by lower order ultradifferential pseudodifferential operators
• Global hypoellipticity for strongly invariant operators
• Eigenfunction expansions of ultradifferentiable functions and ultradistributions
• Fourier analysis for Denjoy–Carleman classes on the torus
• Remarks on Global Hypoellipticity
• Global Hypoellipticity and Liouville Numbers
• Unnamed Item

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