TEMPORAL DECAY OF SOLUTIONS FOR A CHEMOTAXIS MODEL OF ANGIOGENESIS TYPE

초록

This paper considers a parabolic-hyperbolic-hyperbolic type chemotaxis system in ${\mathbb{R}}^d$, $d\ge 3$, describing tumor-induced angiogenesis. The global existence result and temporal decay estimate for a unique mild solution are established under the assumption that some Sobolev norms of initial data are sufficiently small.

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