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. Pr\'astaro 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.
On the geometric generalization of the Noether theorem / Marino, V; Prastaro, Agostino. - STAMPA. - 1209:(1986), pp. 222-234. [10.1007/BFb0076634]
On the geometric generalization of the Noether theorem.
PRASTARO, Agostino
1986
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. Pr\'astaro 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.File allegati a questo prodotto
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