关于一类具有非局部项的抛物型方程的能控性

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英文篇名：On the Null Controllability of the Parabolic Equation with a Non-local Term 作者：徐艺芬 ; 莫玉玲 ; 曾曦 ; 周秀香 英文作者：XU Yifen;MO Yuling;ZENG Xi;ZHOU Xiuxiang;School of Mathematics and Statistics,Lingnan Normal University; 关键词：非局部项 ; 抛物型方程 ; 零能控性 ; 双线性控制 英文关键词：non-local terrm;;parabolic equations;;null controllability;;bilinear control 中文刊名：ZJSX 英文刊名：Journal of Lingnan Normal University 机构：岭南师范学院数学与统计学院; 出版日期：2018-12-15 出版单位：岭南师范学院学报 年：2018 期：v.39;No.187 基金：国家自然科学基金项目(11601213);; 岭南师范学院校级人才引进专项(ZL1612);岭南师范学院重点学科项目(1171518004)和岭南师范学院第十届校级科研立项项目 语种：中文; 页：ZJSX201806003 页数：11 CN：06 ISSN：44-1722/G4 分类号：7-17

摘要

研究了一类具有非局部项的抛物型方程的能控性问题.首先介绍了具有非局部项的受控系统,然后利用傅里叶展开及对偶理论给出与零能控等价的充要条件,最后利用泰勒展式和反证法得出当系统施加双线性控制时,具有非局部项的抛物型方程不是零能控的结论.
        In this paper,a class of parabolic equations with a local term is studied by bilinear control.By using the theory of duality and the expansion of Fourier,aproblem of null controllability is solved.

引文

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