西北师范大学学报（自然科学版）2024，Vol.60Issue(1)：14-19,6.DOI:10.16783/j.cnki.nwnuz.2024.01.004
一个含抑制剂作用的肿瘤生长模型整体解的存在唯一性
Existence and uniqueness of global solutions of an inhibitor-containing model of tumor growth
摘要
Abstract
The nonlinear vascular tumor growth model with simultaneous presence of nutrients and inhibitors was studied.The boundary fixation method was applied to transform the free boundary problem into a nonlinear initial margin value problem on a fixed boundary.By applying the Lp theory of parabolic equations and the Banach fixed point theorem to construct a compression mapping,the existence and uniqueness of the local solution was proved,and then the relationship between the transformed function and its primal function was used to obtain the existence and uniqueness of the global solution by using the extension method.关键词
肿瘤生长模型/自由边界问题/整体解/存在性/唯一性Key words
tumor growth model/free boundary problem/global solution/existence/uniqueness分类
数理科学引用本文复制引用
宋灵宇,盖梦琳,朱妍红..一个含抑制剂作用的肿瘤生长模型整体解的存在唯一性[J].西北师范大学学报（自然科学版）,2024,60(1):14-19,6.基金项目
国家自然科学青年基金资助项目(12101482) （12101482）
中国博士后科学基金面上资助项目(2022M722604) （2022M722604）
陕西省科技厅重点研发一般资助项目(2023-YBSF-372) （2023-YBSF-372）
