Global analytic and Gevrey solvability of sublaplacians under Diophantine conditions

DOI10.1007/s10231-005-0159-3zbMath1232.35035OpenAlexW2030596019MaRDI QIDQ661083

Angela A. Albanese, Peter R. Popivanov

Publication date: 18 February 2012

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

Full work available at URL: https://doi.org/10.1007/s10231-005-0159-3

zbMATH Keywords

Diophantine approximation propertyglobal analytic and Gevrey solvability

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Subelliptic equations (35H20)

Related Items (5)

Global Solvability in Functional Spaces for Smooth Nonsingular Vector Fields in the Plane ⋮ Global solvability and global hypoellipticity in Gevrey classes for vector fields on the torus ⋮ Global hypoelliptic vector fields in ultradifferentiable classes and normal forms ⋮ Global regularity in ultradifferentiable classes ⋮ Fourier analysis for Denjoy–Carleman classes on the torus

Cites Work

• Global solvability and simultaneously approximable vectors
• Diophantine approximation
• Global solvability on the torus for certain classes of operators in the form of a sum of squares of vector fields
• On global hypoellipticity of degenerate elliptic operators
• Global solvability on the torus for certain classes of formally self-adjoint operators
• Global hypoellipticity and global solvability in Gevrey classes on the \(n\)-dimensional torus
• On the global solvability in Gevrey classes on the \(n\)-dimensional torus
• Global hypoellipticity and simultaneous approximability
• Global analytic and Gevrey hypoellipticity of sublaplacians under Diophantine conditions
• Remarks about global analytic hypoellipticity
• PERTURBATIONS OF VECTOR FIELDS ON TORI: RESONANT NORMAL FORMS AND DIOPHANTINE PHENOMENA
• Global (and local) analyticity for second order operators constructed from rigid vector fields on products of tori
• Global Hypoellipticity and Liouville Numbers
• Global solvability for certain classes of underdetermined systems of vector fields
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