Hypoellipticity of a second order operator with a principal symbol changing sign across a smooth hypersurface

DOI10.2969/JMSJ/1179759537zbMath1112.35045OpenAlexW2063855148MaRDI QIDQ861753

Toyohiro Akamatsu

Publication date: 30 January 2007

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

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1179759537

zbMATH Keywords

hypoellipticitysum-of-squares operators

Mathematics Subject Classification ID

Hypoelliptic equations (35H10) Subelliptic equations (35H20)

Related Items (4)

On the Solvability of Certain Degenerate Partial Differential Operators ⋮ Local Solvability of a Class of Degenerate Second Order Operators ⋮ On the Solvability of a Class of Second Order Degenerate Operators ⋮ Local solvability of a class of degenerate second order operators

Cites Work

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• Sur L'hypoellipticite des opérateurs différentiels du second ordre à coefficients réels
• Hypoellipticity of second order operators in \(\mathbb{R}^ 2\) of the form \(fX^ 2+Y+g\)
• Hypoelliptic second order differential equations
• Un problème aux limites pour une classe d'opérateurs hypoelliptiques du second ordre. (A problem on the limits for a class of second order hypoelliptic operators)
• Hypoellipticity of a second-order differential operator with quadratic form of variable sign

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