Calculus of Variations and Geometric Measure Theory
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M. Ruf

On the continuity of functionals defined on partitions

created by ruf on 12 Dec 2016
modified on 17 Oct 2017

[BibTeX]

Accepted Paper

Inserted: 12 dec 2016
Last Updated: 17 oct 2017

Journal: Adv. Calc. Var.
Year: 2017
Doi: https://doi.org/10.1515/acv-2016-0061
Notes:

Published online on April 19, 2017


Abstract:

We characterize the continuity of prototypical functionals acting on finite Caccioppoli partitions and prove that it is equivalent to convergence of the perimeter of the jump set.


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