Journal of Guangdong University of Technology ›› 2018, Vol. 35 ›› Issue (05): 45-50.doi: 10.12052/gdutxb.170178

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Existence and Uniqueness of Global Solution for a Model of Retinal Oxygen Distribution and the Role of Neuroglobin

Chen Mei-gui, Wei Xue-mei   

  1. School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China
  • Received:2018-01-02 Online:2018-07-10 Published:2018-07-18

Abstract: A study is conducted on a mathematical model of retina oxygen distribution and the role of neuroglobin, which contains four sets of mutually coupled reaction diffusion equations. The existence and uniqueness of the model in the local solution is proved by using the Banach Fixed Point Theorem, applying Lp-theory of parabolic equation. And then the existence and uniqueness of the global solution is obtained by using the extension method.

Key words: retina, oxygen distribution, local solution, global solution, existence and uniqueness

CLC Number: 

  • O175
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