Regularity of solutions to a Vekua-type equation on compact Lie groups

DOI10.1007/s10231-021-01120-7zbMath1485.35093OpenAlexW3121248282WikidataQ115385006 ScholiaQ115385006MaRDI QIDQ2118020

Wagner A. A. de Moraes

Publication date: 22 March 2022

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1854/LU-8707660

zbMATH Keywords

Fourier seriesglobal solvabilitycompact Lie groupsglobal hypoellipticityVekua operators

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Analysis on other specific Lie groups (43A80) Hypoelliptic equations (35H10) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Cites Work

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• Globally hypoelliptic vector fields
• Partial Fourier series on compact Lie groups
• Global hypoellipticity and global solvability for vector fields on compact Lie groups
• On first and second order planar elliptic equations with degeneracies
• Representation of solutions of a singular Cauchy–Riemann equation in the plane
• Pseudo-Differential Operators and Symmetries
• Global Quantization of Pseudo-Differential Operators on Compact Lie Groups, SU(2), 3-sphere, and Homogeneous Spaces

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