On conservation laws and necessary conditions in the calculus of variations

G. Francfort, J. Sivaloganathan

Research output: Contribution to journalArticle

5 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

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Calculus of variations
Conservation Laws
Necessary Conditions
Functional Integral
Noether
Euler-Lagrange Equations
Minimizer
Symmetry

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On conservation laws and necessary conditions in the calculus of variations. / Francfort, G.; Sivaloganathan, J.

In: Royal Society of Edinburgh - Proceedings A, Vol. 132, No. 6, 2002, p. 1361-1371.

Research output: Contribution to journalArticle

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