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arXiv · 2111.11559

A Non-Newtonian Noether's Symmetry Theorem

Delfim F. M. Torres
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Abstract

The universal principle obtained by Emmy Noether in 1918, asserts that the invariance of a variational problem with respect to a one-parameter family of symmetry transformations implies the existence of a conserved quantity along the Euler-Lagrange extremals. Here we prove Noether's theorem for the recent non-Newtonian calculus of variations. The proof is based on a new necessary optimality condition of DuBois-Reymond type.

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BibTeXRIS

Delfim F. M. Torres. 2021-11-22. A Non-Newtonian Noether's Symmetry Theorem. https://doi.org/10.1080/00036811.2021.2011243

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