A Time scales Noether's theorem

Baptiste Anerot , Jacky Cresson , Frédéric Pierret (1)

1 IMCCE - Institut de Mécanique Céleste et de Calcul des Ephémérides

We prove a time scales version of the Noether's theorem relating group of symmetries and conservation laws. Our result extends the continuous version of the Noether's theorem as well as the discrete one and corrects a previous statement of Bartosiewicz and Torres in \cite{BT}.

Mots clés: Mathematical Physics; Mathematics - Functional Analysis

Domaines: Astrophysique [astro-ph]

Baptiste Anerot, Jacky Cresson, Frédéric Pierret. A Time scales Noether's theorem. 2016. ⟨obspm-03924432⟩