论文标题

弹性系统的定量独特延续,并应用于运动学反向破裂问题

Quantitative unique continuation for the elasticity system with application to the kinematic inverse rupture problem

论文作者

de Hoop, Maarten V., Lassas, Matti, Lu, Jinpeng, Oksanen, Lauri

论文摘要

我们获得了双曲线线性系统唯一延续的稳定性的明确估计。特别是我们的结果适用于弹性系统和麦克斯韦系统。作为一种应用,我们研究了确定破裂表面位移和摩擦力的跳跃的运动学反向破裂问题,并在稳定的独特延续至破裂表面上获得了新特征。

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.

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