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 / Maddalena, Francesco; Solimini, Sergio Fausto Libero. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - STAMPA. - 159:4(2001), pp. 273-294. [10.1007/s002050100153]
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.File in questo prodotto:
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