论文标题
对时间依赖域的波的内部控制
Interior control of waves on time dependent domains
论文作者
论文摘要
我们获得了时间依赖域的波动方程的新型内部控制结果。这是通过得出合适的卡尔曼估计并证明相应的可观察性不平等的方法来完成的。我们考虑使用依赖时间的低阶系数的波方程，而无需任何时间分析性假设。此外，与标准Carleman方法相比，我们获得了改进的控制区域。
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.
