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
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Abstract:
We consider solutions of the three well problem. These are maps u satisfying tex2html_wrap_inline8 a.e. in tex2html_wrap_inline10 where the tex2html_wrap_inline12 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 tex2html_wrap_inline14 are of finite perimeter we conclude that u is locally a function of one variable only. Addendum: accompanying Maple code

07.06.2018, 00:10