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一类边界退化抛物系统的近似可控性 被引量:4

Approximate Controllability of a Class of Parabolic Systems with Boundary Degeneracy
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摘要 用共轭方程的唯一延拓性证明了一类边界退化抛物系统的近似可控性,即对任意的初值条件和目标函数,存在一个控制函数,使得该方程的解在有限的终端时刻近似达到目标函数. The author proved the approximate controllability of a class of parabolic systems with boundary degeneracy by means of the unique continuation of the adjoint equation. Namely, under any initial conditions and desired conditions, there exists such a control function that the solution of the equation approximately reaches the desired terminal condition in a finite time.
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2013年第5期852-854,共3页 Journal of Jilin University:Science Edition
基金 吉林省教育厅科研项目(批准号:吉教科合字2013[287]) 吉林省教育科学规划项目(批准号:GH12052)
关键词 边界退化 近似可控性 边界控制 boundary degeneracy null controllability boundary control
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参考文献8

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