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半线性热方程能控性的一种迭代证法(英文)

An iteration method to controllability for semilinear heat equations
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摘要 研究半线性热方程的能控性.给出了一种基于Picard迭代的证法:构造一控制序列和解序列,使其极限为原控制问题的解.用此法改进了文献中的结果. Consider the controllability for semilinear heat equations. We give a method based on Picard＇s idea： to construct a sequence of controls and a sequence of solutions of linearized system such that their limits solve the control problem. We improved some results in literatures by our method.
作者 孙波 汪成
机构地区 长沙理工大学数学与计算科学学院
出处 《湖南文理学院学报（自然科学版）》 CAS 2009年第3期1-2,8,共3页 Journal of Hunan University of Arts and Science(Science and Technology)
关键词 半线性热方程 能控性 迭代 Semilinear heat equations controllability iteration.
分类号 O175 [理学—基础数学]
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参考文献10

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湖南文理学院学报（自然科学版）
2009年 第3期

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