A Pisan workshop in geometric analysis
timetable:
Thu 21 Sep, 11:20 - 12:20, Aula Dini
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Asymptotics of the fractional perimeter and existence of bounded harmonic functions on Riemannian manifolds
speaker: Michele Caselli (Scuola Normale Superiore)abstract: I will describe some recent results on the asymptotics of the fractional s-perimeter of Riemannian manifolds, as s tends to zero. We will introduce the fractional Laplacian and fractional perimeter on complete (also non-compact) Riemannian manifolds, and I will show how our result generalizes the existing results on this asymptotics. Lastly, I will give some ideas on why this asymptotics detects the existence of bounded harmonic functions on the base manifold. This is joint work with Luca Gennaioli (SISSA).
timetable:
Thu 21 Sep, 11:20 - 12:20, Aula Dini
<< Go back