Abstract
It is well known from the work of Noether that every variational symmetry of an integral functional gives rise to a corresponding conservation law. In this paper, we prove that each such conservation law arises directly as the Euler-Lagrange equation for the functional on taking suitable variations around a minimizer.
| Original language | English |
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| Pages (from-to) | 1361-1371 |
| Number of pages | 11 |
| Journal | Royal Society of Edinburgh - Proceedings A |
| Volume | 132 |
| Issue number | 6 |
| Publication status | Published - 2002 |
ASJC Scopus subject areas
- Mathematics(all)