Title: Fast Diffusion Equations on Bounded Domains. Sharp Extinction Rates and singular asymptotic behaviourAbstract: We begin with an overview of the ``classical'' homogeneous Dirichlet problem for the Fast Diffusion Equation […]

Title: Existence, Non-existence, and Regularity of Minimizers in Weighted Fractional Cluster ProblemsAbstract: Recently, fractional partitioning problems have attracted significant attention: given a domain Omega, how should it be divided to […]

Title: Heat flow of harmonic maps into CAT(0)-metric spacesAbstract: In this talk, I will describe an elliptic regularization approach, first proposed by De Giorgi, to study the heat flow of […]