On the Stability of the 𝐶^{∞}-Hypoellipticity under Perturbations

DOI10.1090/proc/13800zbMath1401.35026OpenAlexW2612168819MaRDI QIDQ3130830

Alberto Parmeggiani, Cesare Parenti

Publication date: 29 January 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13800

zbMATH Keywords

fundamental solution\(C^\infty\)-hypoellipticityhypoellipticity with loss of derivatives

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Fundamental solutions to PDEs (35A08) Hypoelliptic equations (35H10)

Related Items (3)

A remark on Kohn's theorem on sums of squares of complex vector fields ⋮ Perturbations by lower order terms do not destroy the global hypoellipticity of certain systems of pseudodifferential operators defined on torus ⋮ On ultradifferentiable regularity of perturbations by lower order terms of globally \(C^\infty\) hypoelliptic ultradifferentiable pseudodifferential operators

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• On the Solvability of a Class of ψdos with Multiple Characteristics
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• ON THE HYPOELLIPTICITY WITH A BIG LOSS OF DERIVATIVES
• Hypoelliptic operators with double characteristics and related pseudo-differential operators

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