A relaxation result for Micromagnetics in SBV


Pedro M. Santos
Department of Mathematical Sciences
Carnegie Mellon University


Abstract

An integral representation for the functional


\begin{displaymath}\begin{array}{r} {\cal F}(m,M):= {\rm inf} \left\{ \liminf_{k... ...{\rm in}\quad L^2(\Omega; \mathbb{R}^N) \right\} . \end{array} \end{displaymath}

This problem is motivated by equilibria issues in micromagnetics.


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