Singular solutions for sums of squares of vector fields

DOI10.1080/03605309108820808zbMath0745.35011OpenAlexW2024063382MaRDI QIDQ3985952

A. Alexandrou Himonas, Nicholas Hanges

Publication date: 27 June 1992

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309108820808

zbMATH Keywords

second order partial differential operatorssums of squares of smooth vector fields

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Hypoelliptic equations (35H10)

Related Items (31)

Nonlinear eigenvalues and analytic hypoellipticity ⋮ Global hypoellipticity and global solvability in Gevrey classes on the \(n\)-dimensional torus ⋮ Analyticity in partial differential equations ⋮ Analytic regularity for solutions to sums of squares: an assessment ⋮ Certain sums of Squares of Vector Fields Fail to be Analytic Hypoelliptic ⋮ Some nonanalytic-hypoelliptic sums of squares of vector fields ⋮ On degenerate elliptic operators of infinite type ⋮ Global hypoellipticity and simultaneous approximability in ultradifferentiable classes ⋮ Microlocal analyticity for the canonical solution to on Some Rigid Weakly Pseudoconvex Hypersurfaces in C² ⋮ Propagation of regularity and global hypoellipticity ⋮ Microlocal analyticity for the canonical solution to on Strictly Pseudoconvex CR Mainfolds of Real Dimension Three ⋮ A class of sums of squares with a given Poisson-Trèves stratification ⋮ Analytic hypoellipticity for sums of squares and the Treves conjecture ⋮ Global analytic and Gevrey hypoellipticity of sublaplacians under Diophantine conditions ⋮ Global (and local) analyticity for second order operators constructed from rigid vector fields on products of tori ⋮ Unnamed Item ⋮ Analytic hypoellipticity at non-symplectic Poisson-Treves strata for certain sums of squares of vector fields ⋮ Non-analytic hypoellipticity in the presence of symplecticity ⋮ On Gevrey regularity of globally \(C^{\infty}\) hypoelliptic operators ⋮ Transversally elliptic operators ⋮ Global regularity in ultradifferentiable classes ⋮ On the Gevrey hypo-ellipticity of sums of squares of vector fields. ⋮ On Gevrey solvability and regularity ⋮ Hyperfunctions and (analytic) hypoellipticity ⋮ Wave Front Set of Solutions to Sums of Squares of Vector Fields ⋮ Global analytic regularity for sums of squares of vector fields ⋮ Non-isotropic Gevrey hypoellipticity for Grushin operators. ⋮ A family of degenerate differential operators ⋮ Analytic hypoellipticity, representations of nilpotent groups, and a nonlinear eigenvalue problem ⋮ Exact fundamental solutions for a class of degenerate elliptic operators ⋮ On a new method of proving Gevrey hypoellipticity for certain sums of squares

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