论文标题

Hölder估计具有源项的退化趋化系统弱解决方案

Hölder estimates of weak solutions to degenerate chemotaxis systems with a source term

论文作者

Marras, M., Ragnedda, F., Vernier-Piro, S., Vespri, V.

论文摘要

在本说明中,我们考虑具有多孔培养基类型扩散和满足Hadamard生长条件的源术语的退化趋化系统。我们证明了对抛物线 - 抛物线以及椭圆前 - 抛物性趋化性系统的有界解决方案的hölder规律性。

In this note we consider degenerate chemotaxis systems with porous media type diffusion and a source term satisfying the Hadamard growth condition. We prove the Hölder regularity for bounded solutions to parabolic-parabolic as well as for elliptic-parabolic chemotaxis systems.

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