论文标题
Helmholtz方程的稳定性分析具有许多频率
Stability Analysis for the Helmholtz Equation with Many Frequencies
论文作者
论文摘要
本文涉及一维域中的时谐波方程的逆源问题。目标是从边界测量结果确定源函数。由于Helmholtz方程的绿色功能的复杂性，该问题具有挑战性。我们的主要结果是对数估计值包括两个部分：数据差异和高频尾巴。
This paper concerns the inverse source problem for the time-harmonic wave equation in a one dimensional domain. The goal is to determine the source function from the boundary measurements. The problem is challenging due to complexity of the Green's function for the Helmholtz equation. Our main result is a logarithmic estimate consists of two parts: the data discrepancy and the high frequency tail.
