Existence and Uniqueness of Weak Solutions for a Coupled Mathematical Model of Tumor Invasive Process

摘要：

　　We concern a coupled system of nonlinear partial differential equations modeling the invasive tumor growth of the malignant brain tumor glioblastoma multiforme.When a nonlinear term represents the proliferation rate of the tumor cells,the existence and uniqueness of weak solutions for this system are proved by the Schauder fixed-point theorem and duality technique.

关键词： Reaction-diffusion system Tumor growth Existence Uniqueness Weak solution

作者: Li Zhang Shu Tang Liu

作者单位: Business School Shandong University of Political Science and Law Jinan, Shandong, China College of Control Science and Engineering Shandong University Jinan, Shandong, China

会议类型: 国际会议

会议名称: 2013 ICME International Conference on Complex Medical Engineering(2013 ICME复合医学工程国际会议)

会议地点: 北京

会议语种:英文

页码: 688-692

在线出版日期: 2013-05-25（万方平台首次上网日期，不代表论文的发表时间）