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Asymptotics of fractional perimeter functionals

Speaker: 
Serena Dipierro
Schedule: 
Thursday, January 31, 2013 - 11:00 to 12:00
Location: 
A-133
Abstract: 

We deal with the asymptotic behavior of the s-perimeter of a set E inside a domain U as s->0. We discuss necessary and sufficient conditions for the existence of such limit, by also providing an explicit formulation in terms of the Lebesgue measure of E and U. Moreover, we construct examples of sets for which the limit does not exist. This is a work in collaboration with A. Figalli, G. Palatucci and E. Valdinoci.

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