On an inverse boundary value problem for a nonlinear elastic wave equation
On an inverse boundary value problem for a nonlinear elastic wave equation
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非线性弹性波方程的反边值问题
DOI：
10.1016/j.matpur.2021.07.005
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Zhai, Jian
中科院分区：
文献类型：
--
作者：
Uhlmann, Gunther;Zhai, Jian
本文考虑文献[1]中研究的一类非线性弹性波动方程的边值反问题。我们表明，所有出现在方程中的参数可以唯一地确定在一定的几何假设下，从边界测量。证明是基于二阶线性化和高斯光束。
We consider an inverse boundary value problem for a nonlinear elastic wave equation which was studied in [1]. We show that all the parameters appearing in the equation can be uniquely determined from boundary measurements under certain geometric assumptions. The proof is based on second order linearization and Gaussian beams.