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.
| Original language | English |
|---|---|
| Pages (from-to) | 1270-1286 |
| Number of pages | 17 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 467 |
| Issue number | 2 |
| Early online date | 02 Aug 2018 |
| DOIs | |
| Publication status | Published - 15 Nov 2018 |
Keywords
- Chemotaxis
- Generalised supersolution
- Global existence
- Logarithmic sensitivity
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Anna Zhigun
- School of Mathematics and Physics - Senior Lecturer
- Mathematical Sciences Research Centre
Person: Academic