Some note on Gevrey hypoellipticity and solvability on torus

DOI10.2969/jmsj/04330501zbMath0739.35015OpenAlexW2008890783MaRDI QIDQ1179720

Masafumi Yoshino, Todor Gramchev, Peter R. Popivanov

Publication date: 27 June 1992

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/04330501

zbMATH Keywords

semilinear equationsnecessary and sufficient conditionsresonance condition\(n\)-dimensional compact closed real analytic Riemannian manifoldsglobally nonhypoelliptic examplesSiegel conditions

Mathematics Subject Classification ID

Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Hypoelliptic equations (35H10)

Related Items (9)

Global hypoellipticity and global solvability in Gevrey classes on the \(n\)-dimensional torus ⋮ Global \(s\)-solvability and global \(s\)-hypoellipticity for certain perturbations of zero order of systems of constant real vector fields ⋮ Global solvability and hypoellipticity on the torus for a class of differential operators with variable coefficients ⋮ On Gevrey regularity of globally \(C^{\infty}\) hypoelliptic operators ⋮ Global solvability and simultaneously approximable vectors ⋮ Global \(s\)-solvability, global \(s\)-hypoellipticity and Diophantine phenomena ⋮ Global regularity in ultradifferentiable classes ⋮ 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

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