关键词: 肿瘤生长； 整体解； 存在性； 唯一性

Abstract:

In this paper the researchers study a mathematical model of a retinal vascular tumor. The model is a fixed boundary problem of tumor growth, including several reaction diffusion equations and ordinary differential equations. The paper first discusses the classification of the model, then applies L^p-estimate and Banach Fixed Point Theorem to prove the existence and uniqueness of local solution under special conditions. In the end, the local solution proves to be global in special cases by continuation method.

Key words: tumor growth; global solution; existence; uniqueness