Inclusions de sobolev en calcul de weyl-hörmander et champs de vecteurs sous-elliptiques

DOI10.1016/S0012-9593(97)89937-5zbMath0892.35161OpenAlexW1982146122MaRDI QIDQ4376756

Chaojiang Xu, Jean-Yves Chemin

Publication date: 24 March 1998

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1997_4_30_6_719_0

zbMATH Keywords

Sobolev imbeddingsWeyl-Hörmander calculussubelliptic vector fields

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Pseudodifferential operators as generalizations of partial differential operators (35S05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

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Cites Work

• Balls and metrics defined by vector fields. I: Basic properties
• Weighted distribution spaces and pseudodifferential operators
• Hypoelliptic differential operators and nilpotent groups
• Oscillateur harmonique et opérateurs pseudo-différentiels
• Weyl calculus and subelliptic operators
• Sobolev and isoperimetric inequalities for degenerate metrics
• Higher interior regularity for quasilinear subelliptic systems
• The Poincaré inequality for vector fields satisfying Hörmander's condition
• Analysis on geodesic balls of sub-elliptic operators
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Espaces fonctionnels associés au calcul de Weyl-Hörmander
• Quantification asymptotique et microlocalisations d'ordre supérieur. I
• Subelliptic variational problems
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