Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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TEMPORAL DECAY OF SOLUTIONS FOR A CHEMOTAXIS MODEL OF ANGIOGENESIS TYPE

  • Received : 2022.08.22
  • Accepted : 2023.03.21
  • Published : 2023.05.01
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Abstract

This paper considers a parabolic-hyperbolic-hyperbolic type chemotaxis system in ℝd, d ≥ 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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Acknowledgement

The authors would like to thank the referees for their valuable comments and suggestions.

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