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半线性热方程精确内部能控性(英文)
exact internal controllability for the semilinear heat equation
【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 y t=△ y- f (x,t,y, y) +h(x,t)的精确内部能控性
【Abstract】 the exact controllability of a system described By semilinear heat equation yt=△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.
【基金】 This work is supported by the National Science Foundation of China and GuangdongProvinc
- 【文献出处】 应用泛函分析学报 ,Acta Analysis Functionalis Applicata , 编辑部邮箱 ,2003年01期
- 【分类号】O177.92
- 【下载频次】28