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On a geometric generalization of the noether theorem

Part of the Lecture Notes in Mathematics book series (LNM,volume 1209)

Abstract

Task of this paper is to compare some geometric approaches to obtain conservation laws associated to partial differential equations. More precisely we intend to consider the methods developed by A. Prastaro and A. M. Vinogradov.

The differential equations are considered from a geometric point of view; namely they are submanifolds of Jet-derivative spaces on fiber bundles. To the symmetries of these submanifolds are associated conservation laws that are not necessarily of Noetherian type.

Keywords

  • Fiber Bundle
  • Partial Differential Equa
  • Functorial Extension
  • North Holland Mathematical Study
  • Geometric Generalization

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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© 1986 Springer-Verlag

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Marino, V., Prastaro, A. (1986). On a geometric generalization of the noether theorem. In: Naveira, A.M., Ferrández, A., Mascaró, F. (eds) Differential Geometry Peñíscola 1985. Lecture Notes in Mathematics, vol 1209. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076634

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  • DOI: https://doi.org/10.1007/BFb0076634

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16801-0

  • Online ISBN: 978-3-540-44844-0

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