Global solvability and hypoellipticity on the torus for a class of differential operators with variable coefficients

DOI10.3792/pjaa.68.53zbMath0805.35023OpenAlexW2037481871MaRDI QIDQ1201479

Todor Gramchev, Masafumi Yoshino, Peter R. Popivanov

Publication date: 17 January 1993

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.68.53

zbMATH Keywords

Gevrey classglobal hypoellipticity

Mathematics Subject Classification ID

Related Items (15)

Some examples of global Gevrey hypoellipticity and solvability ⋮ Global hypoellipticity and global solvability in Gevrey classes on the \(n\)-dimensional torus ⋮ Partial Fourier series on compact Lie groups ⋮ Global solvability and global hypoellipticity in Gevrey classes for vector fields on the torus ⋮ Global hypoellipticity and global solvability for vector fields 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 hypoellipticity for a class of pseudo-differential operators on the torus ⋮ Global solvability and simultaneously approximable vectors ⋮ Global \(s\)-solvability, global \(s\)-hypoellipticity and Diophantine phenomena ⋮ On Gevrey solvability and regularity ⋮ Global solvability on the torus for certain classes of operators in the form of a sum of squares of vector fields ⋮ Global hypoellipticity for strongly invariant operators ⋮ Global hypoellipticity, global solvability and normal form for a class of real vector fields on a torus and application ⋮ Global properties of vector fields on compact Lie groups in Komatsu classes ⋮ Perturbations of globally hypoelliptic operators on closed manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An example of a globally hypoelliptic operator
• A class of globally hypoelliptic operators on the torus
• Some note on Gevrey hypoellipticity and solvability on torus
• Global Hypoellipticity of a Mathieu Operator
• Globally Hypoelliptic and Globally Solvable First Order Evolution Equations
• Global Hypoellipticity and Liouville Numbers

This page was built for publication: Global solvability and hypoellipticity on the torus for a class of differential operators with variable coefficients