论文标题
当地的Hölder稳定性对于一阶双曲方程的反问题
Local Hölder stabilities for inverse problems of first-order hyperbolic equations
论文作者
论文摘要
在本文中,我们考虑了具有时间依赖系数的一阶双曲方程的库奇问题。 Cauchy数据是在横向子结构上给出的,我们通过Carleman估计获得了局部Hölder稳定性,以解决逆源和系数问题。
In this paper, we consider a Cauchy problem for a first-order hyperbolic equation with time-dependent coefficients. Cauchy data are given on a lateral subboundary and we obtain local Hölder stabilities for inverse source and coefficient problems via a Carleman estimate.