Some examples of global Gevrey hypoellipticity and solvability

DOI10.3792/pjaa.69.395zbMath0804.35161OpenAlexW2003392495MaRDI QIDQ1327774

Todor Gramchev, Masafumi Yoshino, Peter R. Popivanov

Publication date: 8 August 1994

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.69.395

zbMATH Keywords

global properties of linear partial differential equationsoperators of real principal type

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Pseudodifferential operators as generalizations of partial differential operators (35S05) General theory of partial differential operators (47F05)

Related Items (4)

Global hypoellipticity and global solvability in Gevrey classes on the \(n\)-dimensional torus ⋮ Partial Fourier series on compact Lie groups ⋮ Global regularity in ultradifferentiable classes ⋮ Global properties of vector fields on compact Lie groups in Komatsu classes

Cites Work

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• Global solvability and hypoellipticity on the torus for a class of differential operators with variable coefficients
• Une fonction de la théorie des nombres
• Global Hypoellipticity of a Mathieu Operator
• Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients

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