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Spencer cohomology of differential equations

Part of the Lecture Notes in Mathematics book series (LNM,volume 1453)

Keywords

  • Invariant System
  • Spectral Sequence
  • Smooth Manifold
  • Linear Differential Operator
  • Flat Connection

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References

  1. Spencer D.C., Overdetermined systems of linear partial differential equations, Bull. of the Amer. Math. Soc., Vol. 75, No. 2, p. 179–239, 1969.

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  2. Quillen D.G., Formal properties of overdetermined systems of linear partial differential equations, Thesis, Harvard University, Cambridge, Massachusetts, 1964.

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  3. Goldshmidt H., Existence theorems for analytic linear partial differential equations, Ann. of Math., Vol. 86, No. 2, p. 246–270, 1967.

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  4. Guillemin V., Some algebraic results concerning the characteristics of overdetermined partial differential equations, Amer. J. Math., Vol. 90, p. 270–284, 1968.

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  5. Lychagin V.V., Differential operators on fiber bundles Uspekhi Matematicheskikh Nauk, Vol. 40, No. 2, p. 187–188, 1985.

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  6. Palamodov V.P., Linear differential operators with constant coefficients, Moscow, 1967.

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© 1990 Springer-Verlag

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Ziĺbergleit, L.V., Lychagin, V.V. (1990). Spencer cohomology of differential equations. In: Borisovich, Y.G., Gliklikh, Y.E., Vershik, A.M. (eds) Global Analysis - Studies and Applications IV. Lecture Notes in Mathematics, vol 1453. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085951

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  • DOI: https://doi.org/10.1007/BFb0085951

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  • Print ISBN: 978-3-540-53407-5

  • Online ISBN: 978-3-540-46861-5

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