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竞争-竞争-互惠交错扩散模型的整体解(英文)

On Global Existence of Solutions to the Competitor-competitor-mutualist Model with Cross-diffusion
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摘要 本文应用Sobolev嵌入定理和bootstrap技巧证明竞争-竞争-互惠交错扩散模型在空间维数小于10时古典解的整体存在唯一性. Using Sobolev embedding theorems and bootstrap arguments,the existence and uniqueness of nonnegative global existence of classical solutions for the competitor-competitor-mutualist model with cross-diffusion are proved when the space dimensions is less than 10.
作者 高海燕
机构地区 兰州商学院统计学院
出处 《应用数学》 CSCD 北大核心 2014年第3期623-629,共7页 Mathematica Applicata
基金 Supported by the National Natural Science Foundation of China(11361055) the Fundamental Research Funds for the Gansu University
关键词 竞争-竞争-互惠 交错扩散 整体解 Competitor-competitor-mutualist Cross-diffusion Global solution
分类号 O175.26 [理学—基础数学]
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应用数学
2014年 第3期

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