Prolongations of linear partial differential equations. I. A conjecture of Élie Cartan

DOI10.24033/asens.1168zbMath0167.09402OpenAlexW2601346181WikidataQ110896802 ScholiaQ110896802MaRDI QIDQ5552922

Hubert Goldschmidt

Publication date: 1968

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_1968_4_1_3_417_0

zbMATH Keywords

partial differential equations

Related Items

Prolongations of linear partial differential equations. II. Inhomogeneous equations ⋮ Prolongation of integral domains ⋮ Overdetermined systems of linear partial differential equations ⋮ Rigid two-step nilpotent Lie groups relative to multicontact structures ⋮ On infinite Lie groups ⋮ On the non-linear cohomology of Lie equations. II ⋮ Geometry of nonlinear differential equations ⋮ Localization and parametrization of linear multidimensional control systems ⋮ Prolongements d'équations différentielles linéaires. III. La suite exacte de cohomologie de Spencer ⋮ Geometry of differential equations ⋮ From PDEs to Pfaffian fibrations ⋮ Unnamed Item ⋮ On the non-linear cohomology of Lie equations. I ⋮ The integrability problem for Lie equations ⋮ Points singuliers d'un opérateur différentiel analytique ⋮ Geometry of systems of differential equations. VI. Local bendability of formal structures ⋮ Déformations infinitesimales des espaces riemanniens localement symétriques. I

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Deformation of structures on manifolds defined by transitive, continuous pseudogroups. I: Infinitesimal deformations of structure. II: Deformations of structure
• 'The \(\delta\)-Poincaré estimate'
• Existence theorems for analytic linear partial differential equations
• Integrability criteria for systems of nonlinear partial differential equations
• On Spencer's estimate for \(\delta\)-Poincaré
• On the Guillemin normal form for partial differential operators
• On E. Cartan's Prolongation Theorem of Exterior Differential Systems
• Cartan-Kuranishi's prolongation of differential systems combined with that of Lagrange and Jacobi
• Lectures on Curves on an Algebraic Surface. (AM-59)
• Sheaves Defined by Differential Equations and Application to Deformation Theory of Pseudo-Group Structures