All Title Author
Keywords Abstract

Mathematics  2015 

Existence of solutions for the Keller-Segel model of chemotaxis with measures as initial data

DOI: 10.4064/ba63-1-6

Full-Text   Cite this paper   Add to My Lib


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.


comments powered by Disqus

Contact Us


微信:OALib Journal