We consider the total variation functional T V (u) = | det Du| defined on W 1,n (, R n ) for ⊂ R n . An extension T V p is defined by relaxation in the weak topology of W 1,p for p < n; so the relaxed functional is defined also on maps which may have singularities. In this paper we study the relaxed total variation and compute the functional on 0-homogeneous singular maps.
On the Relaxed Total Variation of Singular Maps
PAOLINI, EMANUELE
2003-01-01
Abstract
We consider the total variation functional T V (u) = | det Du| defined on W 1,n (, R n ) for ⊂ R n . An extension T V p is defined by relaxation in the weak topology of W 1,p for p < n; so the relaxed functional is defined also on maps which may have singularities. In this paper we study the relaxed total variation and compute the functional on 0-homogeneous singular maps.File in questo prodotto:
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