An observability estimate for parabolic equations from a measurable set in time and its applications
An observability estimate for parabolic equations from a measurable set in time and its applications
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时间可测集抛物线方程的可观测性估计及其应用
DOI：
10.4171/jems/371
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发表时间：
2013-01-01
影响因子：
2.6
通讯作者：
Wang, Gengsheng
中科院分区：
文献类型：
--
作者：
Phung, Kim Dang;Wang, Gengsheng
本文给出了一个新的抛物方程的可观测性估计。T/是凸定义域。观测区域被限制在一个开放的非空子集和一个正测度子集的乘积集上。这个估计是借助于在一个时间点上的定量唯一延拓而得出的。给出了在范数和时间最优控制问题中bang-bang性质的应用。
This paper presents a new observability estimate for parabolic equations in .0;T/, whereis a convex domain. The observation region is restricted over a product set of an open nonempty subset ofand a subset of positive measure in .0;T/. This estimate is derived with the aid of a quantitative unique continuation at one point in time. Applications to the bang-bang property for norm and time optimal control problems are provided.