Global regularity in ultradifferentiable classes
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Publication:2014995
DOI10.1007/s10231-012-0279-5zbMath1295.35149OpenAlexW2140665735MaRDI QIDQ2014995
David Jornet, Angela A. Albanese
Publication date: 18 June 2014
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10251/37753
global hypoellipticity(non) quasi-analytic weight function\(\omega\)-ultradifferentiable function space
Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Hypoelliptic equations (35H10)
Related Items (8)
Global ultradifferentiable hypoellipticity on compact manifolds ⋮ Global hypoellipticity and simultaneous approximability in ultradifferentiable classes ⋮ Global hypoelliptic vector fields in ultradifferentiable classes and normal forms ⋮ On ultradifferentiable regularity of perturbations by lower order terms of globally \(C^\infty\) hypoelliptic ultradifferentiable pseudodifferential operators ⋮ Fourier analysis for Denjoy–Carleman classes on the torus ⋮ Lower order perturbation and global analytic vectors for a class of globally analytic hypoelliptic operators ⋮ Global properties of vector fields on compact Lie groups in Komatsu classes ⋮ Global analytic hypoellipticity and solvability of certain operators subject to group actions
Cites Work
- Unnamed Item
- Unnamed Item
- Global analytic and Gevrey solvability of sublaplacians under Diophantine conditions
- Regularity of a class of subLaplacians on the 3-dimensional torus
- Gevrey hypoellipticity and solvability on the multidimensional torus of some classes of linear partial differential operators
- Quasianalytic wave front sets for solutions of linear partial differential operators
- Sur un problème aux valeurs propres non linéaire
- Conditions necessaires d'hypoanalyticite pour des opérateurs invariants à gauche homogenes sur un groupe nilpotent gradue
- Some note on Gevrey hypoellipticity and solvability on torus
- Die Nuklearität der Ultradistributionsräume und der Satz vom Kern. I
- Some examples of global Gevrey hypoellipticity and solvability
- Analytic hypoellipticity for generalized Baouendi-Goulaouic operators
- Propagation of regularity and global hypoellipticity
- On Gevrey regularity of globally \(C^{\infty}\) hypoelliptic operators
- Ultradifferentiable functions and Fourier analysis
- Global hypoellipticity and global solvability in Gevrey classes on the \(n\)-dimensional torus
- Global analytic hypoellipticity of a class of degenerate elliptic operators on the torus
- On degenerate elliptic operators of infinite type
- Global hypoellipticity and simultaneous approximability
- A comparison of two different ways to define classes of ultradifferentiable functions
- Pseudodifferential operators of Beurling type and the wave front set
- Hypoelliptic second order differential equations
- Global analytic and Gevrey hypoellipticity of sublaplacians under Diophantine conditions
- Ultradifferentiable Functions on Compact Intervals
- Wave front sets for ultradistribution solutions of linear partial differential operators with coefficients in non-quasianalytic classes
- On 𝐶^{∞} and Gevrey regularity of sublaplacians
- On Gevrey solvability and regularity
- Sequence space representations for (DFN)-algebras of entire functions modulo closed ideals.
- Singular solutions for sums of squares of vector fields
- Certain sums of Squares of Vector Fields Fail to be Analytic Hypoelliptic
- Global analytic regularity for sums of squares of vector fields
- Remarks about global analytic hypoellipticity
- Intermediate optimal gevrey exponents occur
- Nonanalytic-hypoellipticity for some degenerate elliptic operators
- PERTURBATIONS OF VECTOR FIELDS ON TORI: RESONANT NORMAL FORMS AND DIOPHANTINE PHENOMENA
- Global (and local) analyticity for second order operators constructed from rigid vector fields on products of tori
- Hypoelliptic vector fields and almost periodic motions on the torus Tn
- Global Hypoellipticity and Liouville Numbers
- Hypoelliptic Vector Fields and Continued Fractions
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