Duke Mathematical Journal

Local solvability in a class of overdetermined systems of linear PDE

G. A. Mendoza and F. Treves

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Article information

Source
Duke Math. J. Volume 63, Number 2 (1991), 355-377.

Dates
First available in Project Euclid: 20 February 2004

Permanent link to this document
http://projecteuclid.org/euclid.dmj/1077295925

Mathematical Reviews number (MathSciNet)
MR1115112

Zentralblatt MATH identifier
0794.35002

Digital Object Identifier
doi:10.1215/S0012-7094-91-06315-5

Subjects
Primary: 58G05
Secondary: 35A07 35N10: Overdetermined systems with variable coefficients

Citation

Mendoza, G. A.; Treves, F. Local solvability in a class of overdetermined systems of linear PDE. Duke Math. J. 63 (1991), no. 2, 355--377. doi:10.1215/S0012-7094-91-06315-5. http://projecteuclid.org/euclid.dmj/1077295925.


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References

  • [B-T] M. S. Baouendi and F. Treves, A property of the functions and distributions annihilated by a locally integrable system of complex vector fields, Ann. of Math. (2) 113 (1981), no. 2, 387–421.
  • [C-H] P. Cordaro and J. Hounie, On local solvability of underdetermined systems of vector fields, Amer. J. Math. 112 (1990), no. 2, 243–270.
  • [C-T] P. Cordaro and F. Treves, Homology and cohomology in hypo-analytic structures of the hypersurface type, to appear.
  • [N-T] L. Nirenberg and F. Treves, Solvability of a first order linear partial differential equation, Comm. Pure Appl. Math. 16 (1963), 331–351.
  • [T1] F. Treves, Study of a model in the theory of complexes of pseudodifferential operators, Ann. of Math. (2) 104 (1976), no. 2, 269–324.
  • [T2] F. Treves, Approximation and representation of functions and distributions annihilated by a system of complex vector fields, École Polytechnique Centre de Mathématiques, Palaiseau, 1981.
  • [T3] F. Trèves, On the local solvability and the local integrability of systems of vector fields, Acta Math. 151 (1983), no. 1-2, 1–38.
  • [T4] F Treves, On the local solvability for top-degree forms in hypo-analytic structures, Amer. J. Math. 112 (1990), no. 3, 403–421.