视网膜氧分布与脑红蛋白作用模型解的存在唯一性

陈美癸; 卫雪梅

doi:10.12052/gdutxb.170178

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视网膜氧分布与脑红蛋白作用模型解的存在唯一性

综合研究 | 更新时间：2026-05-27

- 视网膜氧分布与脑红蛋白作用模型解的存在唯一性
- Existence and Uniqueness of Global Solution for a Model of Retinal Oxygen Distribution and the Role of Neuroglobin
- 广东工业大学学报 2018年35卷第5期页码：45-50
- 作者机构：
  
  广东工业大学　应用数学学院,广东,广州,510520
- 作者简介：
  
  陈美癸(1993–)，女，硕士研究生，主要研究方向为偏微分方程
  卫雪梅(1972–)，女，教授，主要研究方向为偏微分方程. E-mail：wxm_gdut@163.com
- 基金信息：
  
  国家自然科学基金资助项目(11101095);广东省高校特色创新类项目(2016KTSCX028);广东省高层次人才项目(2014011);研究生教育创新项目(2014QTLXXM17)
- DOI：10.12052/gdutxb.170178
  中图分类号： O175
- 网络首发：2018-07-10，
  
  纸质出版：2018
- 稿件说明：
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陈美癸, 卫雪梅. 视网膜氧分布与脑红蛋白作用模型解的存在唯一性[J]. 广东工业大学学报, 2018, 35(5): 45-50.

Chen Mei-gui, Wei Xue-mei. Existence and Uniqueness of Global Solution for a Model of Retinal Oxygen Distribution and the Role of Neuroglobin[J]. 2018, 35(5): 45-50.
陈美癸, 卫雪梅. 视网膜氧分布与脑红蛋白作用模型解的存在唯一性[J]. 广东工业大学学报, 2018, 35(5): 45-50. DOI： 10.12052/gdutxb.170178.

Chen Mei-gui, Wei Xue-mei. Existence and Uniqueness of Global Solution for a Model of Retinal Oxygen Distribution and the Role of Neuroglobin[J]. 2018, 35(5): 45-50. DOI： 10.12052/gdutxb.170178.

摘要

研究视网膜中氧分布与脑红蛋白作用的数学模型

该模型包含了4组相互耦合的反应扩散方程组. 先通过运用Banach不动点定理

抛物型方程的

估计证明了模型的局部解的存在唯一性

然后利用延拓方法得到了整体解的存在唯一性.

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

-theory of parabolic equation. And then the existence and uniqueness of the global solution is obtained by using the extension method.

关键词

Keywords

references

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