Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899212 | Journal of Mathematical Analysis and Applications | 2018 | 15 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Anna Zhigun,