Tuesday, 6 June 2017, 3 p.m. (sharp),

prof. Rodica Toader, Università di Udine

at the conference room of IMATI-CNR in Pavia, will give a lecture titled:

A LOWER SEMICONTINUITY RESULT FOR A FREE-DISCONTINUITY FUNCTIONAL WITH A BOUNDARY TERM

as part of the Applied Mathematics Seminar (IMATI-CNR e Dipartimento di Matematica, Pavia).
At the end a refreshment will be organized.

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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.

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http://matematica.unipv.it/it/seminari-matematica-applicata