On global analytic and Gevrey hypoellipticity on the torus and the Métivier inequality
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Publication:2986678
DOI10.1080/03605302.2016.1258577zbMath1430.35064OpenAlexW2557324917MaRDI QIDQ2986678
Gregorio Chinni, Paulo D. Cordaro
Publication date: 16 May 2017
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605302.2016.1258577
Pseudodifferential operators as generalizations of partial differential operators (35S05) Hypoelliptic equations (35H10) Subelliptic equations (35H20)
Related Items (13)
On a class of globally analytic hypoelliptic sums of squares ⋮ Global hypoellipticity and simultaneous approximability in ultradifferentiable classes ⋮ Analytic and Gevrey hypoellipticity for perturbed sums of squares operators ⋮ Perturbations by lower order terms do not destroy the global hypoellipticity of certain systems of pseudodifferential operators defined on torus ⋮ Globally hypoelliptic triangularizable systems of periodic pseudo‐differential operators ⋮ On a class of sums of squares related to Hamiltonians with a non periodic magnetic field ⋮ On ultradifferentiable regularity of perturbations by lower order terms of globally \(C^\infty\) hypoelliptic ultradifferentiable pseudodifferential operators ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Global \(\mathcal{M}\)-hypoellipticity, global \(\mathcal{M}\)-solvability and perturbations by lower order ultradifferential pseudodifferential operators ⋮ Global hypoellipticity for a class of periodic Cauchy operators ⋮ Fourier analysis for Denjoy–Carleman classes on the torus ⋮ On the Stability of the 𝐶^{∞}-Hypoellipticity under Perturbations
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- On the Fourier Analysis of Operators on the Torus
- Global analytic regularity for sums of squares of vector fields
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