Global hypoellipticity and global solvability in Gevrey classes on the \(n\)-dimensional torus

DOI10.1016/j.jde.2004.01.005zbMath1063.35059OpenAlexW2020012218MaRDI QIDQ1880755

Luisa Zanghirati, Angela A. Albanese

Publication date: 1 October 2004

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2004.01.005

zbMATH Keywords

Gevrey spacesglobal hypoellipticityglobal solvabilitiy

Mathematics Subject Classification ID

Hypoelliptic equations (35H10)

Related Items (13)

On the global solvability in Gevrey classes on the \(n\)-dimensional torus ⋮ Global Gevrey hypoellipticity on the torus for a class of systems of complex vector fields ⋮ 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 analytic solvability of involutive systems on compact manifolds ⋮ Global \(s\)-solvability and global \(s\)-hypoellipticity for certain perturbations of zero order of systems of constant real vector fields ⋮ Global analytic and Gevrey solvability of sublaplacians under Diophantine conditions ⋮ Global \(\mathcal{M}\)-hypoellipticity, global \(\mathcal{M}\)-solvability and perturbations by lower order ultradifferential pseudodifferential operators ⋮ Global regularity in ultradifferentiable classes ⋮ Global hypoellipticity for a class of periodic Cauchy operators ⋮ On Gevrey solvability and regularity ⋮ Fourier analysis for Denjoy–Carleman classes on the torus ⋮ Global hypoellipticity, global solvability and normal form for a class of real vector fields on a torus and application

Cites Work

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• Global solvability and simultaneously approximable vectors
• Analytic wavefront sets and operators with multiple characteristics
• Some note on Gevrey hypoellipticity and solvability on torus
• Global solvability and hypoellipticity on the torus for a class of differential operators with variable coefficients
• Conditions for correctness in Gevrey classes of the Cauchy problem for weakly hyperbolic equations
• 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
• Some examples of global Gevrey hypoellipticity and solvability
• Global solvability on the torus for certain classes of formally self-adjoint operators
• Ultradifferentiable functions and Fourier analysis
• Global hypoellipticity and simultaneous approximability
• Projective and injective limits of weakly compact sequences of locally convex spaces
• Global analytic and Gevrey hypoellipticity of sublaplacians under Diophantine conditions
• Singular solutions for sums of squares of vector fields
• Certain sums of Squares of Vector Fields Fail to be Analytic Hypoelliptic
• Local analytic hypoellipticity for □ _b on nondegenerate Cauchy—Riemann manifolds
• Analytic hypo-ellipticity of a class of pseudodifferential operators with double characteristics and applications to the -neumann problem
• Gevrey Hypoellipticity for Maximally Hypoelliptic Fourth Order Partial Differential Operators
• Hypoellipticity and Local Solvability in Gevrey Classes
• Propagation of Gevrey Regularity for a Class of Hypoelliptic Equations
• Global (and local) analyticity for second order operators constructed from rigid vector fields on products of tori
• Global Hypoellipticity and Liouville Numbers
• Editorial board
• Global solvability for certain classes of underdetermined systems of vector fields

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