%0 Journal Article
%T Existence of solutions for the Keller-Segel model of chemotaxis with measures as initial data
%A Piotr Biler
%A Jacek Zienkiewicz
%J Mathematics
%D 2015
%I arXiv
%R 10.4064/ba63-1-6
%X A simple proof of the existence of solutions for the two-dimensional Keller-Segel model with measures with all the atoms less than $8\pi$ as the initial data is given. This result has been obtained by Senba--Suzuki and Bedrossian--Masmoudi using different arguments. Moreover, we show a uniform bound for the existence time of solutions as well as an optimal hypercontractivity estimate.
%U http://arxiv.org/abs/1507.00497v2