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Relaxation for some dynamical problems

Dacorogna, B.

In: Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1985, vol. 100, no. 1-2, p. 39-52

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    Title
    • Relaxation for some dynamical problems
    Author
    • Dacorogna, B.. Département de Mathématiques, Ecole Polytechnique Fédérale de Lausanne, 1015 Lausanne, Suisse
    Document Type
    • Postprint
    Language
    • English
    Published in
    • Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1985, vol. 100, no. 1-2, p. 39-52. Royal Society of Edinburgh Scotland Foundation
    Other Version
    Classification
    • Health
    OAI-PMH Identifier
    • oai:doc.rero.ch:299486
    Summary
    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