Intermediate optimal gevrey exponents occur

DOI10.1080/03605309708821267zbMath0893.35021arXivmath/9603213OpenAlexW1970782259MaRDI QIDQ4340660

Michael Christ

Publication date: 20 July 1997

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

Full work available at URL: https://arxiv.org/abs/math/9603213

zbMATH Keywords

Gevrey hypoellipticityGevrey characterizationoptimal Gevrey exponents

Mathematics Subject Classification ID

Hypoelliptic equations (35H10)

Related Items (24)

Analytic regularity for solutions to sums of squares: an assessment ⋮ Gevrey micro-regularity for solutions to first order nonlinear PDE ⋮ Microglobal regularity and the global wavefront set ⋮ The FBI transforms and their use in microlocal analysis ⋮ Regularity of a class of subLaplacians on the 3-dimensional torus ⋮ Characterization of Gevrey Regularity by a Class of FBI Transforms ⋮ On Gevrey singularities of microhyperbolic operators ⋮ Unnamed Item ⋮ Global Gevrey vectors ⋮ A class of sums of squares with a given Poisson-Trèves stratification ⋮ Unnamed Item ⋮ Global analytic and Gevrey hypoellipticity of sublaplacians under Diophantine conditions ⋮ FBI transform characterization of ultradifferentiablity on maximally real submanifolds ⋮ A generalization of Borel's theorem and microlocal Gevrey regularity in involutive structures ⋮ On Gevrey regularity of globally \(C^{\infty}\) hypoelliptic operators ⋮ Global regularity in ultradifferentiable classes ⋮ Gevrey class regularity for quasi-linear sub-elliptic equations of second order ⋮ On Gevrey solvability and regularity ⋮ Wave Front Set of Solutions to Sums of Squares of Vector Fields ⋮ Global L^q Gevrey functions, Paley-Weiner theorems, and the FBI transform ⋮ Non-isotropic Gevrey hypoellipticity for Grushin operators. ⋮ Gevrey regularity for a generalization of the Oleĭnik-Radkevič operator ⋮ Exact fundamental solutions for a class of degenerate elliptic operators ⋮ The global Kotake-Narasimhan theorem

Cites Work

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• The local real analyticity of solutions to d'Alembert-Operator(b) and the (partial d)--Neumann problem
• A necessary condition for analytic hypoellipticity
• Global analytic hypoellipticity in the presence of symmetry
• The Szegö projection need not preserve global analyticity
• Subelliptic distances and powers of differential operators
• Local analytic hypoellipticity for □ _b on nondegenerate Cauchy—Riemann manifolds
• Analytic hypo-ellipticity of a class of pseudodifferential operators with double characteristics and applications to the -neumann problem
• Non-analytic hypoellipticity in the presence of symplecticity

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