| 半线性热方程精确内部能控性 |
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| 引用本文： | 孙波,赵怡. 半线性热方程精确内部能控性[J]. 应用泛函分析学报, 2003, 5(1): 1-8 |
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| 作者姓名： | 孙波 赵怡 |
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| 作者单位： | 中山大学数学系,广东,广州,510275 |
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| 基金项目： | This work is supported by the National Science Foundation of China and GuangdongProvinc |
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| 摘 要： | 主要采用了构造辅助系统u′ △u=0的方法，同时也利用了强单调算子 的满射性。在条件（H)的修改下，得到在有限时间内的精确可控性，研究半线性热方程系统ey/et=△y-f(x,t,y,倒△y) h(x,t)的精确内部能控性。
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| 关 键 词： | 半线性热方程 精确内部能控性 单调算子 辅助系统 Dinihlef问题 Banach空间 非线性算子 |
Exact Internal Controllability for the Semilinear Heat Equation |
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| SUN Bo,ZHAO Yi. Exact Internal Controllability for the Semilinear Heat Equation[J]. Acta Analysis Functionalis Applicata, 2003, 5(1): 1-8 |
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| Authors: | SUN Bo ZHAO Yi |
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| Abstract: | The exact controllability of a system described by semilinear heat equation (y)/(t)=△y-f(x,t,y,y)+h(x,t), is studied by introducing an auxiliary system u′+△u=0, as well as the surjectivity of strong monotone operator. We give an exact controllability under assumption (H) in finite time. |
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| Keywords: | semilinear heat equation exact cointrollability |
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