Global solvability on the torus for certain classes of operators in the form of a sum of squares of vector fields

DOI10.1006/jdeq.1997.3407zbMath0931.35035OpenAlexW2078172513MaRDI QIDQ1265089

Gerson Petronilho

Publication date: 19 November 1998

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

Full work available at URL: https://doi.org/10.1006/jdeq.1997.3407

zbMATH Keywords

irrational non-Liouville numbers

Mathematics Subject Classification ID

Related Items (8)

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 ⋮ Partial Fourier series on compact Lie groups ⋮ 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 solvability and simultaneously approximable vectors ⋮ Global \(s\)-solvability, global \(s\)-hypoellipticity and Diophantine phenomena ⋮ On Gevrey solvability and regularity

Cites Work

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• 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
• On degenerate elliptic operators of infinite type
• Globally Hypoelliptic and Globally Solvable First Order Evolution Equations
• Quasi-periodic solutions of nonlinear elliptic partial differential equations
• Global Solvability of an Abstract Complex
• Global solvability for certain classes of underdetermined systems of vector fields

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