| Abstract: |
| We study qualitative properties as blow-up phenomena, decay in time, boundedness, global existence and H\older regularity for solutions of some classes of chemotaxis systems. In particular we consider a degenerate chemotaxis systems with porous media type diffusion and a source term satisfying the Hadamard growth condition. We prove the H\older regularity for bounded solutions to parabolic-parabolic as well as for parabolic-elliptic chemotaxis systems. |
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