This paper is devoted to a chemotaxis system with signal-dependent motility under homogeneous Neumann boundary conditions in a bounded domain. We prove that this problem possesses a global classical solution which is uniformly bounded under weaker conditions than that obtained by Lv and Wang (2020). The findings of our study demonstrate the presence of a consistent decay rate, effectively ruling out the occurrence of blow-up phenomena in the system across all spatial dimensions.

中文翻译：

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关于具有信号依赖性运动、间接信号产生和广义逻辑源的趋化系统解决方案的全局存在


本文致力于在有界域的齐次诺伊曼边界条件下具有信号依赖性运动的趋化系统。我们证明该问题具有全局经典解，该解在比 Lv 和 Wang（2020）所获得的条件更弱的条件下一致有界。我们的研究结果表明存在一致的衰减率，有效地排除了系统在所有空间维度上发生爆炸现象的可能性。