Quantitative unique continuation for the elasticity system with application to the kinematic inverse rupture problem
Quantitative unique continuation for the elasticity system with application to the kinematic inverse rupture problem
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DOI：
10.1080/03605302.2023.2175215
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发表时间：
2022-03
影响因子：
1.9
通讯作者：
Maarten V. de Hoop;M. Lassas;Jinpeng Lu;L. Oksanen
中科院分区：
文献类型：
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作者：
Maarten V. de Hoop;M. Lassas;Jinpeng Lu;L. Oksanen
摘要 我们获得了双曲方程线性系统唯一连续稳定性的显式估计。特别是，我们的结果适用于弹性系统和麦克斯韦系统。作为一个应用，我们研究了确定破裂面位移跳跃和摩擦力的运动学逆破裂问题，并获得了直到破裂面的稳定唯一延续的新特征。
Abstract We obtain explicit estimates on the stability of the unique continuation for a linear system of hyperbolic equations. In particular, our result applies to the elasticity system and also the Maxwell system. As an application, we study the kinematic inverse rupture problem of determining the jump in displacement and the friction force at the rupture surface, and we obtain new features on the stable unique continuation up to the rupture surface.