A criterion for hypoellipticity of operators constructed from vector fields

DOI10.1080/03605307908820107zbMath0459.35025OpenAlexW2060143661MaRDI QIDQ3909370

Linda Preiss Rothschild

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1080/03605307908820107

zbMATH Keywords

manifolddifferential operatorvector fieldsHörmander conditionmaximal hypoellipticitycriterion for hypoellipticity

Mathematics Subject Classification ID

Hypoelliptic equations (35H10)

Related Items (13)

Réduction microlocale des systèmes d'opérateurs pseudo- différentiels. (Microlocal reduction of systems of pseudodifferential operators) ⋮ Regularité des solutions d'équations aux dérivées partielles non linéaires associées à un système de champs de vecteurs ⋮ Intrinsic nilpotent approximation ⋮ Lower bounds of eigenvalues for a class of bi-subelliptic operators ⋮ Lower bounds of Dirichlet eigenvalues for a class of higher order degenerate elliptic operators ⋮ A remark on hypoellipticity of homogenious invariant differential operators on nilpotent lie gropus ⋮ Solving nonlinear equations from higher order derivations in linear stages ⋮ Models for free nilpotent Lie algebras ⋮ Parametrices for hypoelliptic operators on step to nilpotent lie groups ⋮ Nonexstence of optimal L²estimates for the boundary laplacian operator on certain weakly pseudoconvex domains ⋮ Estimates for eigenvalues of a class of fourth order degenerate elliptic operators with a singular potential ⋮ Maximal estimates for the Fokker-Planck operator with magnetic field ⋮ Maximal estimates for the Kramers-Fokker-Planck operator with electromagnetic field

Cites Work

• Unnamed Item
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Hypoelliptic differential operators and nilpotent groups
• Hypoelliptic second order differential equations
• Intertwining operators for semisimple groups
• Parametrices and estimates for the $\bar \partial _b$ complex on strongly pseudoconvex boundaries
• Fonction spectrale et valeurs propres d'une classe d'operateurs non elliptiques
• ON A CLASS OF HYPOELLIPTIC OPERATORS

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