Truncations under differential constraints and (quasi)convex hulls

  • Stefan Schiffer (Universität Bonn)
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In this talk, we discuss the following question: Let us consider a function u in $L^1$ satisfying a differential constraint A u=0 (e.g. A =curl or A = div). Is it possible to modify u slightly, such that it still obeys the differential constraint and is in some better space (i.e. $L^{\infty}$)?

This question can be seen as a generalization of Lipschitz extension/truncation results. I will briefly point out some applications of such a result in the Calculus of Variations.

This talk is based on joint work with L. Behn (Bielefeld) and F. Gmeineder (Konstanz).

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

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