This paper is concerned with functionals with free discontinuities, considered as depending on the set variable. A splitting operation divides the sets in which the functional takes low values in the union of a noise part and a macroscopic part. Then we show lower semicontinuity results on the limit of the macroscopic parts by Hausdorff distance, along minimizing sequences.

Lower Semicontinuity Properties of Functionals with Free Discontinuities

Francesco Maddalena;Sergio Solimini
2001-01-01

Abstract

This paper is concerned with functionals with free discontinuities, considered as depending on the set variable. A splitting operation divides the sets in which the functional takes low values in the union of a noise part and a macroscopic part. Then we show lower semicontinuity results on the limit of the macroscopic parts by Hausdorff distance, along minimizing sequences.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/10294
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