Università degli Studi di Pavia

Dipartimento di Matematica ''F. Casorati''

HomeAppuntamenti › A lower semicontinuity result for a free-discontinuity funct [...]IT|EN

A lower semicontinuity result for a free-discontinuity functional with a boundary term

Prof. Rodica Toader, Universitą di Udine

Sala conferenze IMATI-CNR, Pavia - Martedì 6 Giugno 2017 h.15:00


Abstract.  We study the lower semicontinuity in GSBVp(Ω;Rm) of a free discontinuity functional F(u) that can be written as the sum of a surface term, depending only on the jump set Su , and of a boundary term, depending on the trace of u on ∂Ω. We give necessary and sufficient conditions on the integrands for the lower semicontinuity of F. Moreover, we prove a relaxation result, which shows that the lower semicontinuous envelope of F can still be represented as the sum of two integrals on Su and ∂Ω, respectively.

The results were obtained together with S. Almi and G. Dal Maso.

Torna alla pagina degli appuntamenti


Dipartimento di Matematica ''F. Casorati''

Università degli Studi di Pavia - Via Ferrata, 5 - 27100 Pavia
Tel +39.0382.985600 - Fax +39.0382.985602