On ultradifferentiable regularity of perturbations by lower order terms of globally \(C^\infty\) hypoelliptic ultradifferentiable pseudodifferential operators
DOI10.1007/s00041-023-10057-9OpenAlexW4390400942MaRDI QIDQ6201301
Gerson Petronilho, Igor A. Ferra
Publication date: 25 March 2024
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00041-023-10057-9
global hypoellipticitylower order perturbationsglobal hypoellipticity with loss of derivativesultradifferentiable pseudodifferential operators
Pseudodifferential operators as generalizations of partial differential operators (35S05) Hypoelliptic equations (35H10)
Cites Work
- On Gevrey regularity of globally \(C^{\infty}\) hypoelliptic operators
- Global regularity in ultradifferentiable classes
- Global \(\mathcal{M}\)-hypoellipticity, global \(\mathcal{M}\)-solvability and perturbations by lower order ultradifferential pseudodifferential operators
- A remark on the stability of \(C^\infty \)-hypoellipticity under lower-order perturbations
- On global analytic and Gevrey hypoellipticity on the torus and the Métivier inequality
- On the Stability of the 𝐶^{∞}-Hypoellipticity under Perturbations
- On Gevrey solvability and regularity
- PERTURBATIONS OF VECTOR FIELDS ON TORI: RESONANT NORMAL FORMS AND DIOPHANTINE PHENOMENA
- Perturbations by lower order terms do not destroy the global hypoellipticity of certain systems of pseudodifferential operators defined on torus
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