@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},
pages = {241--303},
year = {1981},
publisher = {Sijthoff et Noordhoff International Publishers},
volume = {44},
number = {1-3},
mrnumber = {662464},
zbl = {0487.58026},
language = {en},
url = {https://www.numdam.org/item/CM_1981__44_1-3_241_0/}
}
TY - JOUR AU - Nacinovich, Mauro TI - On the absence of Poincaré lemma for some systems of partial differential equations JO - Compositio Mathematica PY - 1981 SP - 241 EP - 303 VL - 44 IS - 1-3 PB - Sijthoff et Noordhoff International Publishers UR - https://www.numdam.org/item/CM_1981__44_1-3_241_0/ LA - en ID - CM_1981__44_1-3_241_0 ER -
%0 Journal Article %A Nacinovich, Mauro %T On the absence of Poincaré lemma for some systems of partial differential equations %J Compositio Mathematica %D 1981 %P 241-303 %V 44 %N 1-3 %I Sijthoff et Noordhoff International Publishers %U https://www.numdam.org/item/CM_1981__44_1-3_241_0/ %G en %F 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) no. 1-3, pp. 241-303. https://www.numdam.org/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. | Zbl | MR | Numdam
[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. | Zbl | MR
[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
[3] , , : "On the absence of Poincaré Lemma in Tangential Cauchy-Riemann Complexes." Ann. Scuola Normale Superiore Pisa, (4) 8, 1981. | Zbl | MR | Numdam
[4] : "Rings of Differential Operators." North Holland, New York, 1979. | Zbl | MR
[5] : "Hypoelliptic Operators with Double Characteristics and Related Pseudo-Differential Operators." Comm. on Pure and Appl. Math., vol. XXVII, (1974) pp. 585-639. | Zbl | MR
[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
[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. | Zbl | MR
[9] : "The Weyl Calculus of Pseudo-Differential Operators." Comm. on Pure and Appl. Math., vol. XXXII, (1979) pp. 359-443. | Zbl | MR
[10] : "On the Subelliptic Test Estimates." Comm. on Pure and Appl. Math., vol. XXXIII, (1980) pp. 339-363. | Zbl | MR
[11] , : "Geometric Asymptotics" Math. Surveys n. 14, American Math. Society. Providence, R. I., 1977. | Zbl | MR
[12] : "Analyse Lagrangienne et Mécanique Quantique" Séminaire sur les Equations aux Derivées Partielles. Collège de France, 1976-1977. | MR | Numdam | EuDML
[13] : "Lower Bounds for Pseudo-Differential Operators " Arkiv for Matematik. vol. 9, no. 1 (1971) pp. 117-140. | Zbl | MR
[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. | Zbl | MR
[15] : "Lessons on Rings, Modules and Multiplicities ". Cambridge at the University Press, 1968. | Zbl | MR
[16] , : "Problèmes aux Limites non Homogènes et Applications. vol. 1" Paris, Dunod, 1968. | Zbl | MR





