论文标题
对于具有空间和时间依赖系数的双曲线PDE的正式确定的逆问题的稳定性
Stability for a formally determined inverse problem for a hyperbolic PDE with space and time dependent coefficients
论文作者
论文摘要
我们证明,对于双曲线PDE的正式确定的逆问题,我们证明了系数取决于空间和时间变量的稳定性。双曲线操作员具有恒定的波速,我们研究了零阶和一阶系数的恢复,并且空间维度可以是一个或更高。我们使用Bukhgeim-Klibanov方法的修改来获得我们的结果。
We prove stability for a formally determined inverse problem for a hyperbolic PDE where the coefficients depend on space and time variables. The hyperbolic operator has constant wave speed and we study the recovery of zeroth order and first order coefficients and the space dimension can be one or higher. We use a modification of the Bukhgeim-Klibanov method to obtain our results.