Preprint 22/2004
The Two Well Problem With Surface Energy
Andrew Lorent
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Submission date: 22. Apr. 2004 (revised version: November 2005)
Pages: 11
published in: Proceedings of the Royal Society of Edinburgh / A, 136 (2006) 4, p. 795-805 
DOI number (of the published article): 10.1017/S030821050000473X
Bibtex
MSC-Numbers: 74G65
Keywords and phrases: two wells, surface energy
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Abstract:
Let 
be a bounded Lipschitz domain in 
, let H be a 
diagonal
matrix with 
. Let 
and consider the functional
over 
where 
is the class of
functions from satisfying affine boundary condition F.
We will show that non-trivial (scaling) lower bounds on I_ follow from non trivial (scaling) lower bounds on the finite element approximation of I_0.