A new proof of Okaji's theorem for a class of sum of squares operators

DOI10.5802/aif.2442zbMath1178.35138OpenAlexW2272216577MaRDI QIDQ1013025

Nicholas Hanges, Paulo D. Cordaro

Publication date: 29 April 2009

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2009__59_2_595_0

zbMATH Keywords

analytic hypoellipticsymplectic Poisson strata

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Hypoelliptic equations (35H10) Parametrices in context of PDEs (35A17) Subelliptic equations (35H20) Wave front sets in context of PDEs (35A18)

Related Items (10)

Analyticity in partial differential equations ⋮ Analytic regularity for solutions to sums of squares: an assessment ⋮ Analytic hypoellipticity for sums of squares and the Treves conjecture. II. ⋮ Analytic and Gevrey regularity for certain sums of two squares in two variables ⋮ Analytic hypoellipticity for sums of squares and the Treves conjecture ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Gevrey hypoellipticity for sums of squares with a non-homogeneous degeneracy ⋮ Wave Front Set of Solutions to Sums of Squares of Vector Fields ⋮ On a new method of proving Gevrey hypoellipticity for certain sums of squares

Cites Work

• Analytic hypoellipticity for operators with symplectic characteristics
• The local real analyticity of solutions to d'Alembert-Operator(b) and the (partial d)--Neumann problem
• Some examples of hypoelliptic partial differential equations
• Analytic regularity for an operator with Trèves curves
• Analytic hypoellipticity in the presence of nonsymplectic characteristic points
• Hypoelliptic second order differential equations
• Analytic hypo-ellipticity of a class of pseudodifferential operators with double characteristics and applications to the -neumann problem
• Global analytic regularity for sums of squares of vector fields
• Non-analytic hypoellipticity in the presence of symplecticity
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