@article{CM_1981__44_1-3_241_0,
author = {Nacinovich, Mauro},
title = {On the absence of Poincar\'e lemma for some systems of partial differential equations},
journal = {Compositio Mathematica},
volume = {44},
year = {1981},
pages = {241-303},
mrnumber = {662464},
zbl = {0487.58026},
language = {en},
url = {http://dml.mathdoc.fr/item/CM_1981__44_1-3_241_0}
}
Nacinovich, Mauro. On the absence of Poincaré lemma for some systems of partial differential equations. Compositio Mathematica, Tome 44 (1981) pp. 241-303. http://gdmltest.u-ga.fr/item/CM_1981__44_1-3_241_0/
[0] , : "E.E. Levi Convexity and the Hans Lewy Problem. Part II: Vanishing Theorems" Ann. Scuola Normale Superiore Pisa, vol. XXVI, (4) (1972), pp. 747-806. | Numdam | MR 477150 | Zbl 0283.32013
[1] , : "Some Remarks on Formal Poincaré Lemma " in "Complex Analysis and Algebraic Geometry" A collection of Papers dedicated to K. Kodaira, edited by W.L. Baily and T. Shioda. pp. 295-305 Iwanami Shoten, Tokyo, 1977. | MR 474424 | Zbl 0408.58028
[2] , : "On Analytic and C∞ Poincaré Lemma" in "Mathematical Analysis and Applications" Advances in Mathematics supplementary studies, vol. 7A, pp. 41-93. Academic Press. Chicago 1981. | Zbl 0471.58021
[3] , , : "On the absence of Poincaré Lemma in Tangential Cauchy-Riemann Complexes." Ann. Scuola Normale Superiore Pisa, (4) 8, 1981. | Numdam | MR 634855 | Zbl 0482.35061
[4] : "Rings of Differential Operators." North Holland, New York, 1979. | MR 549189 | Zbl 0499.13009
[5] : "Hypoelliptic Operators with Double Characteristics and Related Pseudo-Differential Operators." Comm. on Pure and Appl. Math., vol. XXVII, (1974) pp. 585-639. | MR 370271 | Zbl 0294.35020
[6] : "On a class of elliptic Pseudodifferential Operators Degenerate on a Submanifold." Math. U.S.S.R. Sbomik vol. 13 (1971) pp. 155-185. | Zbl 0238.47038
[7] : "Linear Partial Differential Operators" Springer. New York, 1963.
[8] : "Pseudo-differential Operators and non-elliptic Boundary Problems." Ann. Math. 83 (1966) pp. 129-209. | MR 233064 | Zbl 0132.07402
[9] : "The Weyl Calculus of Pseudo-Differential Operators." Comm. on Pure and Appl. Math., vol. XXXII, (1979) pp. 359-443. | MR 517939 | Zbl 0388.47032
[10] : "On the Subelliptic Test Estimates." Comm. on Pure and Appl. Math., vol. XXXIII, (1980) pp. 339-363. | MR 562739 | Zbl 0414.35078
[11] , : "Geometric Asymptotics" Math. Surveys n. 14, American Math. Society. Providence, R. I., 1977. | MR 516965 | Zbl 0364.53011
[12] : "Analyse Lagrangienne et Mécanique Quantique" Séminaire sur les Equations aux Derivées Partielles. Collège de France, 1976-1977. | Numdam | MR 501198
[13] : "Lower Bounds for Pseudo-Differential Operators " Arkiv for Matematik. vol. 9, no. 1 (1971) pp. 117-140. | MR 328393 | Zbl 0211.17102
[14] , : "On Local Solvability of Linear Partial Differential Equations. Part I : Necessary Conditions." Comm. on Pure and Appl. Math., vol. XXIII, (1970) pp. 1-38. | MR 264470 | Zbl 0191.39103
[15] : "Lessons on Rings, Modules and Multiplicities ". Cambridge at the University Press, 1968. | MR 231816 | Zbl 0159.33001
[16] , : "Problèmes aux Limites non Homogènes et Applications. vol. 1" Paris, Dunod, 1968. | MR 247243 | Zbl 0165.10801