Lipschitz minimizers of the 3-well problem having gradients of bounded variation

Bernd Kirchheim

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Submission date: 10. Mar. 1998
Pages: 31
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Abstract:
We consider solutions of the three well problem. These are maps u satisfying a.e. in where the are the diagonal matrices representing the cubic to tetragonal transformation. It is known that such maps can behave rather irregular. Under the additional assumption that the phase sets are of finite perimeter we conclude that u is locally a function of one variable only. Addendum: accompanying Maple code