A remark on hypoellipticity of homogenious invariant differential operators on nilpotent lie gropus

DOI10.1080/03605308308820320zbMath0538.35018OpenAlexW1977586375MaRDI QIDQ3324312

Linda Preiss Rothschild

Publication date: 1983

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308308820320

zbMATH Keywords

nilpotent Lie algebraleft invariant homogeneous differential operator

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Nilpotent and solvable Lie groups (22E25) Hypoelliptic equations (35H10)

Related Items (2)

Compact embeddings, eigenvalue problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups ⋮ Layer potentials, Kac's problem, and refined Hardy inequality on homogeneous Carnot groups

Cites Work

• Hypoelliptic differential operators and nilpotent groups
• Caracterisation des operateurs hypoelliptiques homogenes
• A criterion for hypoellipticity of operators constructed from vector fields
• Unnamed Item

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