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Relaxation for some dynamical problems
Published online by Cambridge University Press: 14 November 2011
Synopsis
In this article, we study the functional 
Where Ω ⊂ ĝn is a bounded open set and u: Ω ×(0, T)→ ĝm and when F: Rnm →R fails to be quasiconvex. We show that with respect to strong convergence of ∂u/∂t and weak convergence of ∇×u, the above functional behaves as 
where QF is the lower quasiconvex envelope of F.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 100 , Issue 1-2 , 1985 , pp. 39 - 52
- Copyright
- Copyright © Royal Society of Edinburgh 1985
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