Prolongations of linear partial differential equations. I. A conjecture of Élie Cartan
Annales scientifiques de l'École Normale Supérieure (1968)
- Volume: 1, Issue: 3, page 417-444
- ISSN: 0012-9593
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topGoldschmidt, Hubert. "Prolongations of linear partial differential equations. I. A conjecture of Élie Cartan." Annales scientifiques de l'École Normale Supérieure 1.3 (1968): 417-444. <http://eudml.org/doc/81837>.
@article{Goldschmidt1968,
author = {Goldschmidt, Hubert},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {partial differential equations},
language = {eng},
number = {3},
pages = {417-444},
publisher = {Elsevier},
title = {Prolongations of linear partial differential equations. I. A conjecture of Élie Cartan},
url = {http://eudml.org/doc/81837},
volume = {1},
year = {1968},
}
TY - JOUR
AU - Goldschmidt, Hubert
TI - Prolongations of linear partial differential equations. I. A conjecture of Élie Cartan
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1968
PB - Elsevier
VL - 1
IS - 3
SP - 417
EP - 444
LA - eng
KW - partial differential equations
UR - http://eudml.org/doc/81837
ER -
References
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- [8] M. KURANISHI, On É. Cartan's prolongation theorem of exterior differential systems (Amer. J. Math., vol. 79, 1957, p. 1-47). Zbl0077.29701MR18,474d
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- [12] M. MATSUDA, Cartan-Kuranishi's prolongation of differential systems combined with that of Lagrange and Jacobi (Pub. Res. Inst. Math. Sci., Ser. A, vol. 3, 1967, p. 69-84). Zbl0172.13601MR36 #5490
- [13] D. MUMFORD, Lectures on curves on an algebraic surface (Ann. Math. Studies, No. 59, Princeton University Press, Princeton, 1966). Zbl0187.42701MR35 #187
- [14] D. G. QUILLEN, Formal properties of over-determined systems of linear partial differential equations (Ph. D. thesis, Harvard University, 1964). Zbl1295.35005
- [15] D. C. SPENCER, Deformation of structures on manifolds defined by transitive, continuous pseudogroups : I, II (Ann. Math., vol. 76, 1962, p. 306-445). Zbl0124.38601MR27 #6287b
- [16] S. STERNBERG, Notes on partial differential equations, Mimeographed notes, Harvard University (to appear).
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Citations in EuDML Documents
top- Hubert Goldschmidt, Prolongements d'équations différentielles linéaires. III. La suite exacte de cohomologie de Spencer
- Hubert Goldschmidt, Prolongations of linear partial differential equations. II. Inhomogeneous equations
- Katharina Neusser, Universal prolongation of linear partial differential equations on filtered manifolds
- Alexandre A. Martins Rodrigues, On infinite Lie groups
- Irene Venturi, Rigid Two-Step Nilpotent Lie Groups relative to Multicontact Structures
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