Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-27T09:16:06.804Z Has data issue: false hasContentIssue false
  • English
  • Français

On conservation laws and necessary conditions in the calculus of variations

Published online by Cambridge University Press:  12 July 2007

G. Francfort  and
J. Sivaloganathan
G. Francfort
Affiliation:
LPMTM, Université Paris 13, 93430 Villetaneuse, France
J. Sivaloganathan
Affiliation:
Department of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK
Get access Rights & Permissions [Opens in a new window]

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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 132 , Issue 6 , December 2002 , pp. 1361 - 1371
Copyright
Copyright © Royal Society of Edinburgh 2002

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)