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On irregular weak solutions of the energy–momentum equations

Published online by Cambridge University Press:  11 February 2011

J. Sivaloganathan  and
Scott J. Spector
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)
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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.

Information

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 141 , Issue 1 , February 2011 , pp. 193 - 204
Copyright
Copyright © Royal Society of Edinburgh 2011

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