| 带极大单调图的半线性抛物型方程的零能控性(英文) |
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| 引用本文： | 张亮,何朗.带极大单调图的半线性抛物型方程的零能控性(英文)[J].数学进展,2011(1). |
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| 作者姓名： | 张亮 何朗 |
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| 作者单位： | 武汉理工大学理学院数学系; |
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| 基金项目： | supported by NSFC(No.10726031,No.10801057); the Fundamental Research Funds for the Central Universities |
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| 摘 要： | 本文讨论非线性项带一个极大单调图的半线性抛物型方程系统的零能控性.文中利用Kakutani不动点定理和线性抛物型方程的能控性得到该系统是零能控的,如果控制作用在内部区域上.由此,还得到该系统是零能控的,如果控制施加在一部分边界上.
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| 关 键 词： | 零能控 Carleman不等式 极大单调图 |
Null Controllability of Semilinear Parabolic Equation With Nonlinear Terms Involving a Maximal Monotone Graph |
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| ZHANG Liang,HE Lang.Null Controllability of Semilinear Parabolic Equation With Nonlinear Terms Involving a Maximal Monotone Graph[J].Advances in Mathematics,2011(1). |
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| Authors: | ZHANG Liang HE Lang |
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| Institution: | ZHANG Liang~*,HE Lang~(**) (School of Mathematic Science,Wuhan University of Technology,Wuhan,Hubei,430070,P.R.China) |
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| Abstract: | This work concerns the null controllability of the system governed by semilinear parabolic equation with nonlinearity involving a bounded maximal monotone graph.We obtain by the Kakutani's fixed point theorem and the associated controllability for linear parabolic equations that the system is null controllable in the case when control acts in a subdomain.As a consequence,we also obtain that the system is null controllable when control acts on a portion of the boundary. |
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| Keywords: | null controllability global Carleman inequality maximal monotone graph |
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