SYMMETRY GROUPS AND PATH-INDEPENDENT INTEGRALS.

P. J. Olver

Research output: Chapter in Book/Report/Conference proceedingConference contribution

7 Scopus citations

Abstract

Noether's general theorem gives a one-to-one correspondence between nontrivial conservation laws or path independent integrals for the Euler-Lagrange equations of some variational problem and the generalized variational symmetries of the variational problem itself, provided that it satisfies certain nondegeneracy assumptions. Here we give a brief introduction to the theory of generalized symmetries and their connections with conservation laws. Applications are given to the classification of conservation laws for the equations of two dimensional elasticity, especially the linear isotropic and anisotropic cases.

Original languageEnglish (US)
Title of host publicationUnknown Host Publication Title
PublisherCambridge Univ. Press
Pages57-71
Number of pages15
ISBN (Print)0521267358
StatePublished - Dec 1 1985

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