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
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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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