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On an inverse boundary value problem for a nonlinear elastic wave equation
Journal de Mathématiques Pures et Appliquées ( IF 2.1 ) Pub Date : 2021-07-22 , DOI: 10.1016/j.matpur.2021.07.005 Gunther Uhlmann 1, 2 , Jian Zhai 2
中文翻译:
非线性弹性波方程的反边值问题
更新日期:2021-08-15
Journal de Mathématiques Pures et Appliquées ( IF 2.1 ) Pub Date : 2021-07-22 , DOI: 10.1016/j.matpur.2021.07.005 Gunther Uhlmann 1, 2 , Jian Zhai 2
Affiliation
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.
中文翻译:
非线性弹性波方程的反边值问题
我们考虑在 [1] 中研究的非线性弹性波动方程的反边界值问题。我们表明,在某些几何假设下,方程中出现的所有参数都可以从边界测量中唯一确定。证明基于二阶线性化和高斯光束。