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Relaxation for some dynamical problems

Published online by Cambridge University Press:  14 November 2011

B. Dacorogna
B. Dacorogna
Affiliation:
Département de Mathématiques, Ecole Polytechnique Fédérale de Lausanne, 1015 Lausanne, Suisse
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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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References

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