On the absence of Poincaré lemma for some systems of partial differential equations
Compositio Mathematica, Tome 44 (1981) no. 1-3, pp. 241-303. 
@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},
     publisher = {Sijthoff et Noordhoff International Publishers},
     volume = {44},
     number = {1-3},
     year = {1981},
     mrnumber = {662464},
     zbl = {0487.58026},
     language = {en},
     url = {http://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  - http://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 http://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. http://www.numdam.org/item/CM_1981__44_1-3_241_0/

[0] A. Andreotti, C.D. Hill: "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 | Zbl

[1] A. Andreotti, M. Nacinovich: "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 | Zbl

[2] A. Andreotti, M. Nacinovich: "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] A. Andreotti, G. Fredricks, M. Nacinovich: "On the absence of Poincaré Lemma in Tangential Cauchy-Riemann Complexes." Ann. Scuola Normale Superiore Pisa, (4) 8, 1981. | Numdam | MR | Zbl

[4] J.E. Bjork: "Rings of Differential Operators." North Holland, New York, 1979. | MR | Zbl

[5] L. Boutet De Monvel: "Hypoelliptic Operators with Double Characteristics and Related Pseudo-Differential Operators." Comm. on Pure and Appl. Math., vol. XXVII, (1974) pp. 585-639. | MR | Zbl

[6] V.V. Grušin: "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] L. Hörmander: "Linear Partial Differential Operators" Springer. New York, 1963.

[8] L. Hörmander: "Pseudo-differential Operators and non-elliptic Boundary Problems." Ann. Math. 83 (1966) pp. 129-209. | MR | Zbl

[9] L. Hörmander: "The Weyl Calculus of Pseudo-Differential Operators." Comm. on Pure and Appl. Math., vol. XXXII, (1979) pp. 359-443. | MR | Zbl

[10] L. Hörmander: "On the Subelliptic Test Estimates." Comm. on Pure and Appl. Math., vol. XXXIII, (1980) pp. 339-363. | MR | Zbl

[11] V. Guillemin, S. Sternberg: "Geometric Asymptotics" Math. Surveys n. 14, American Math. Society. Providence, R. I., 1977. | MR | Zbl

[12] J. Leray: "Analyse Lagrangienne et Mécanique Quantique" Séminaire sur les Equations aux Derivées Partielles. Collège de France, 1976-1977. | EuDML | Numdam | MR

[13] A. Melin: "Lower Bounds for Pseudo-Differential Operators " Arkiv for Matematik. vol. 9, no. 1 (1971) pp. 117-140. | MR | Zbl

[14] L. Nirenberg, F. Trèves: "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 | Zbl

[15] D.G. Northcott: "Lessons on Rings, Modules and Multiplicities ". Cambridge at the University Press, 1968. | MR | Zbl

[16] J.L. Lions, E. Magenes: "Problèmes aux Limites non Homogènes et Applications. vol. 1" Paris, Dunod, 1968. | MR | Zbl