Global regularity in ultradifferentiable classes
type: Item
instance of: scholarly article
title: Global regularity in ultradifferentiable classes
zbMATH Open document ID: 1295.35149
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 2014-06-18T00:00:00Z
full work available at URL: http://hdl.handle.net/10251/37753
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35H10
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 46E10
Mathematics Subject Classification ID: 46F05
zbMATH DE Number: 6305039
zbMATH Keywords: (non) quasi-analytic weight function
zbMATH Keywords: \(\omega\)-ultradifferentiable function space
zbMATH Keywords: global hypoellipticity
author: Angela A. Albanese
author: David Jornet
MaRDI profile type: Publication
OpenAlex ID: W2140665735
cites work: Quasianalytic wave front sets for solutions of linear partial differential operators
cites work: Wave front sets for ultradistribution solutions of linear partial differential operators with coefficients in non-quasianalytic classes
cites work: Global hypoellipticity and global solvability in Gevrey classes on the \(n\)-dimensional torus
cites work: Global analytic and Gevrey solvability of sublaplacians under Diophantine conditions
cites work: Gevrey hypoellipticity and solvability on the multidimensional torus of some classes of linear partial differential operators
cites work: Nonanalytic-hypoellipticity for some degenerate elliptic operators
cites work: Remarks about global analytic hypoellipticity
cites work: A comparison of two different ways to define classes of ultradifferentiable functions
cites work: Ultradifferentiable functions and Fourier analysis
cites work: Hypoelliptic vector fields and almost periodic motions on the torus Tn
cites work: Certain sums of Squares of Vector Fields Fail to be Analytic Hypoelliptic
cites work: Q4037149
cites work: Intermediate optimal gevrey exponents occur
cites work: Global analytic hypoellipticity of a class of degenerate elliptic operators on the torus
cites work: Global analytic regularity for sums of squares of vector fields
cites work: PERTURBATIONS OF VECTOR FIELDS ON TORI: RESONANT NORMAL FORMS AND DIOPHANTINE PHENOMENA
cites work: Pseudodifferential operators of Beurling type and the wave front set
cites work: Some note on Gevrey hypoellipticity and solvability on torus
cites work: Some examples of global Gevrey hypoellipticity and solvability
cites work: Q4837854
cites work: Global Hypoellipticity and Liouville Numbers
cites work: Hypoelliptic Vector Fields and Continued Fractions
cites work: Singular solutions for sums of squares of vector fields
cites work: Analytic hypoellipticity for generalized Baouendi-Goulaouic operators
cites work: Conditions necessaires d'hypoanalyticite pour des opérateurs invariants à gauche homogenes sur un groupe nilpotent gradue
cites work: On degenerate elliptic operators of infinite type
cites work: Global analytic and Gevrey hypoellipticity of sublaplacians under Diophantine conditions
cites work: Global hypoellipticity and simultaneous approximability
cites work: Propagation of regularity and global hypoellipticity
cites work: On Gevrey regularity of globally \(C^{\infty}\) hypoelliptic operators
cites work: On 𝐶^{∞} and Gevrey regularity of sublaplacians
cites work: Regularity of a class of subLaplacians on the 3-dimensional torus
cites work: Hypoelliptic second order differential equations
cites work: Ultradifferentiable Functions on Compact Intervals
cites work: Sequence space representations for (DFN)-algebras of entire functions modulo closed ideals.
cites work: Sur un problème aux valeurs propres non linéaire
cites work: On Gevrey solvability and regularity
cites work: Die Nuklearität der Ultradistributionsräume und der Satz vom Kern. I
cites work: Global (and local) analyticity for second order operators constructed from rigid vector fields on products of tori
DOI: 10.1007/S10231-012-0279-5
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description: scientific article; zbMATH DE number 6305039