

Preprint 12/1998
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
Bibtex
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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