| Abstract: |
| We consider different classes of parabolic systems of Keller-Segel type defined in a convex bounded and smooth domain $\Omega$ of $R^N,$ for $N\in\{2,3\}$ under homogeneous Neumann boundary conditions. By introducing suitable energy functions in terms of the solution, sufficient conditions on the data are assumed to have bounded solutions of the system and exponential decay of such energies.
The method can be extended to systems of Attraction-Repulsion Keller -Segel type. |
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