A simple proof of non-explosion for measure solutions of the Keller-Segel equation
Résumé
We give a simple proof, relying on a two-particles moment computation, that thereexists a global weak solution to the 2-dimensional parabolic-elliptic Keller-Segel equation whenstarting from any initial measure $f_0$ such that $f_0(\mathbb{R}^2) < 8π$.