On conservation laws and necessary conditions in the calculus of variations

G. Francfort, J. Sivaloganathan

Research output: Contribution to journalArticle

6 Citations (Scopus)

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 languageEnglish
Pages (from-to)1361-1371
Number of pages11
JournalRoyal Society of Edinburgh - Proceedings A
Volume132
Issue number6
Publication statusPublished - 2002

ASJC Scopus subject areas

  • Mathematics(all)

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