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

机译：肿瘤侵袭过程耦合数学模型的弱解的存在唯一性

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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.

机译：我们涉及建模恶性肿瘤肿瘤胶质母细胞瘤多形状的侵入性肿瘤生长的非线性偏微分方程的耦合系统。当非线性术语代表肿瘤细胞的增殖率时，Schauder定期定理和二元技术证明了该系统弱解决方案的存在和唯一性。

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《ICME International Conference on Complex Medical Engineering》|2013年||共5页
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作者
Li Zhang; Shu Tang Liu;
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中图分类 R319-53;
关键词
Reaction-diffusion system; Tumor growth; Existence; Uniqueness; Weak solution;

机译：反应扩散系统;肿瘤生长;存在;唯一性;弱解决方案;

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4. Existence and uniqueness of weak solutions for a coupled mathematical model of tumor invasive process [C] . Zhang Li, Liu Shu Tang 2013 ICME International Conference on Complex Medical Engineering . 2013

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

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