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On irregular weak solutions of the energy–momentum equations

Published online by Cambridge University Press:  11 February 2011

J. Sivaloganathan
Affiliation:
Department of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK (masjs@bath.ac.uk)
Scott J. Spector
Affiliation:
Department of Mathematics, Southern Illinois University, Carbondale, IL 62901, USA (sspector@math.siu.edu)

Abstract

Irregular mappings that are weak solutions of the energy–momentum equations are presented. One example is discontinuous at a countable number of points while the other is C1, but not C2. These mappings are not solutions of the usual Euler–Lagrange equations.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2011

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