Interior control of waves on time dependent domains
Interior control of waves on time dependent domains
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DOI：
10.1016/j.jmaa.2022.126468
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发表时间：
2022-02
影响因子：
1.3
通讯作者：
Vaibhav Kumar Jena
中科院分区：
文献类型：
--
作者：
Vaibhav Kumar Jena
我们得到了一个新的内部控制结果的波动方程的时间依赖域。这是通过推导一个合适的Carleman估计和证明相应的可观性不等式。考虑低阶系数含时波动方程，不作任何时间解析性假设。此外，我们得到改进的控制区域相比，标准的Carleman方法。
We obtain a novel interior control result for wave equations on time dependent domains. This is done by deriving a suitable Carleman estimate and proving the corresponding observability inequality. We consider the wave equation with time dependent lower order coefficients, without any time analyticity assumptions. Moreover, we obtain improved control regions when compared with standard Carleman methods.