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| 摘要: |
| 本文研究了一类非线性chemotaxis系统的能控性问题.利用这类线性化结合不动点的方法,获得了非线性系统的局部零能控性结果,推广了非线性抛物-椭圆型方程能控性的结果. |
| 关键词: 能控性 chemotaxis系统 抛物-椭圆型方程组 |
| DOI： |
| 分类号:O231 |
| 基金项目:国家自然科学基金资助(11201358);中央高校基本科研业务费专项资金资助(2012-Ia-033;2013-Ia-020) |
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| ON ONE KIND OF CONTROLLABILITY PROPERTY OF A NONLINEAR CHEMOTAXIS SYSTEM |
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CHENG Ying,XIANG Jian-lin
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| Abstract: |
| This work concerns the controllability of a nonlinear chemotaxis system.By the combination of linearization and the Kakutani's fixed point theorem,we prove the local controllability of the nonlinear parabolic-elliptic system.This approach is appropriate for the proof of controllability of the chemotaxis system and it is applicable for other types of parabolic-elliptic systems. |
| Key words: controllability chemotaxis system parabolic-elliptic equations |
