Boundary controllability of parabolic coupled equations

Boundary controllability of parabolic coupled equations
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DOI:
10.1016/j.jfa.2010.06.003
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发表时间:
2010-10
影响因子:
1.7
通讯作者:
E. Fernández-Cara;Manuel González-Burgos;L. Teresa
E. Fernández-Cara;Manuel González-Burgos;L. Teresa
中科院分区:
数学1区
文献类型:
--
作者:
E. Fernández-Cara;Manuel González-Burgos;L. Teresa

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本文研究非标量线性抛物型方程组的边界能控性。更确切地说,两个耦合的一维抛物型方程。我们表明,在这个框架中,边界可控性是不等价的,是更复杂的分布式可控性。在我们的主要结果中,我们提供了零能控性的充分必要条件。
This paper is concerned with the boundary controllability of non-scalar linear parabolic systems. More precisely, two coupled one-dimensional parabolic equations are considered. We show that, in this framework, boundary controllability is not equivalent and is more complex than distributed controllability. In our main result, we provide necessary and sufficient conditions for the null controllability.