| Abstract: |
| We examine qualitative properties as decay in time and blow-up phenomena to solution of some classes of parabolic systems under various boundary conditions. For a system of Keller-Segel type a suitable energy function in terms of the solution is defined and, under proper assumptions on the data, an exponential decay is established.
For unbounded solutions of a chemotaxis system with nonlinear diffusion and under appropriate assumptions on data, an explicit lower bound of the blow up time is obtained |
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