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--- Summary ---
* Seminars by: Ambrosio
* Modified papers by: Nayam, Santambrogio, De Luca, Bellettini, Focardi, Spadaro, Novaga, Gelli
--- Seminars next week ---
* Wednesday 3 dec 2014

time: 17:30
Sala Seminari (Dipartimento di Matematica)
Characterizations of sets of finite perimeter: old and recent results
Luigi Ambrosio (SNS Pisa)
Abstract. In my lecture I will illustrate a recent work (in collaboration with J.Bourgain, H.Brezis, A.Figalli) on the characterization of the perimeter and of sets of finite perimeter in terms of a $BMO$-like seminorm, solving positively a question raised in a earlier and recent work of H.Brezis, J.Bourgain and P.Mironescu. I will more generally compare this with other distributional and non-distributional criteria for the finiteness of perimeter.

--- Modified Papers ---
* Santambrogio: Introduction to Optimal Transport Theory 
* Santambrogio: Models and applications of Optimal Transport in Economics, Traffic and Urban Planning
* De Luca: Gamma-convergence analysis for  discrete topological singularities: the anisotropic triangular lattice and the long range interaction energy
* Focardi, Gelli, Spadaro: Monotonicity formulas for obstacle problems with Lipschitz coefficients
* Bellettini, Nayam, Novaga: $\Gamma$-type estimates for the one-dimensional Allen-Cahn's action
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