A variational problem arising from Mullins-Sekerka problem
Masato Kimura and Stephan Luckhaus
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Submission date: 25. Sep. 2001
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We consider a geometric minimizing problem which arises in time discretization of the Mullins-Sekerka problem. Some new geometric estimate for the shape of the global minimizer is presented. We also show that such a geometric estimate is useful to improve standard norm estimates.