Generalised supersolutions with mass control for the Keller–Segel system with logarithmic sensitivity

8Citations
Citations of this article
1Readers
Mendeley users who have this article in their library.
Get full text
This PDF is freely available from an open access repository. It may not have been peer-reviewed.

Abstract

The existence of generalised global supersolutions with a control upon the total muss is established for the parabolic–parabolic Keller–Segel system with logarithmic sensitivity for any space dimension. It is verified that smooth supersolutions of this sort are actually classical solutions. Unlike the previously existing constructions, neither is the chemotactic sensitivity coefficient required to be small, nor is it necessary for the initial data to be radially symmetric.

Cite

CITATION STYLE

APA

Zhigun, A. (2018). Generalised supersolutions with mass control for the Keller–Segel system with logarithmic sensitivity. Journal of Mathematical Analysis and Applications, 467(2), 1270–1286. https://doi.org/10.1016/j.jmaa.2018.08.001

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free