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Weak continuity and weak lower semicontinuity for some compensation operators

Published online by Cambridge University Press:  14 November 2011

Pablo Pedregal
Pablo Pedregal
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455, U.S.A
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Synopsis

We study a special class of linear differential operators well-behaved with respect to weakconvergence. Questions related to weak lower semicontinuity, associated Young measures, weak continuity and quasi-convexity are addressed. Specifically, it is shown that the well-known necessary conditions for weak lower semicontinuity are also sufficient in this case. Some examples are given, including a discussion on how well the operator curl fits inthis context.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 113 , Issue 3-4 , 1989 , pp. 267 - 279
Copyright
Copyright © Royal Society of Edinburgh 1989

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