Calculus of Variations and Geometric Measure Theory
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Metric currents and a functional of Mumford-Shah type in codimension higher than one

Francesco Ghiraldin (Max Planck Institute Leipzig)

created by magnani on 22 May 2012

30 may 2012 -- 17:00   [open in google calendar]

Sala Seminari, Department of Mathematics, Pisa University

Abstract.

I will introduce and study a new Mumford-Shah functional of codimension higher than one, in which the gradient is replaced by the distributional jacobian. Since only part of the classical GSBV theory can be adapted to our case, I will use the general framework of metric currents to define the "jump" part of the energy and to investigate the properties of currents of finite size. If time allows a variational approximation of the functional will be outlined.

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