Abstract
AbstractWe consider the chemotaxis system equation image under homogeneous Neumann boundary conditions in a smooth bounded domain Ω ⊂ ℝn. The chemotactic sensitivity function is assumed to generalize the prototype equation image It is proved that no chemotactic collapse occurs in the sense that for any choice of nonnegative initial data (with some r > n), the corresponding initial‐boundary value problem possesses a unique global solution that is uniformly bounded (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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