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.
|Titolo:||Lower Semicontinuity Properties of Functionals with Free Discontinuities|
|Data di pubblicazione:||2001|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1007/s002050100153|
|Appare nelle tipologie:||1.1 Articolo in rivista|