The global hypoellipticity of a class of degenerate elliptic-parabolic operators

DOI10.3792/pjaa.60.312zbMath0574.35019OpenAlexW1969400949MaRDI QIDQ1063784

Kazuo Amano

Publication date: 1984

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.60.312

zbMATH Keywords

global hypoellipticitydegenerate elliptic-parabolic operators

Mathematics Subject Classification ID

Hypoelliptic equations (35H10)

Related Items (9)

Regularity of a class of subLaplacians on the 3-dimensional torus ⋮ Global hypoellipticity and simultaneous approximability in ultradifferentiable classes ⋮ Global \(s\)-solvability and global \(s\)-hypoellipticity for certain perturbations of zero order of systems of constant real vector fields ⋮ Global hypoellipticity and simultaneous approximability ⋮ On Gevrey regularity of globally \(C^{\infty}\) hypoelliptic operators ⋮ On Gevrey solvability and regularity ⋮ Global hypoellipticity, global solvability and normal form for a class of real vector fields on a torus and application ⋮ Global analytic, Gevrey and C∞ hypoellipticity on the 3-torus ⋮ On 𝐶^{∞} and Gevrey regularity of sublaplacians

Cites Work

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• An example of a globally hypoelliptic operator
• A necessary condition for hypoellipticity of degenerate elliptic- parabolic operators
• On the hypoellipticity for infinitely degenerate semi-elliptic operators
• Hypoelliptic second order differential equations
• Stochastic Representation and Singularities of Solutions of Second Order Equations with Semidefinite Characteristic Form
• ON A CRITERION FOR HYPOELLIPTICITY

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