带有组织重塑的肿瘤侵袭趋同化模型在三维空间中的整体存在性
Global Existence for a Haptotaxis Model of Cancer Invasion with Tissue Remodeling in Three Dimensions
DOI: 10.12677/AAM.2018.79139, PDF,   
作者: 孟莱青, 苑佳：北京航空航天大学，数学与系统科学学院，北京
关键词: 趋同化；整体解；Gagliardo-Nirenberg不等式；Haptotaxis； Global Solution； Gagliardo-Nirenberg Inequality
摘要: 在与相同的假设条件下，本文主要通过Gagliardo-Nirenberg不等式，建立趋同项在三维空间上的先验估计，给出趋同化模型在三维空间中整体解的存在唯一性。
Abstract: Compared with, under the same assumption on the coefficients, we establish some delicate priori estimates of haptotaxis term by using the Gagliardo-Nirenberg inequality, and prove the global existence and uniqueness of classical solutions to haptotaxis model in three dimensions.
文章引用：孟莱青, 苑佳. 带有组织重塑的肿瘤侵袭趋同化模型在三维空间中的整体存在性[J]. 应用数学进展, 2018, 7(9): 1197-1202. https://doi.org/10.12677/AAM.2018.79139

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