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

IF 2.1 2区数学 Q1 MATHEMATICS

Communications in Partial Differential Equations Pub Date : 2022-03-25 DOI:10.1080/03605302.2023.2175215

M. V. de Hoop, M. Lassas, Jinpeng Lu, L. Oksanen

引用次数: 2

Abstract

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.

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弹性系统的定量唯一延拓及其在运动学逆破裂问题中的应用

摘要我们得到了一类线性双曲方程组唯一延拓稳定性的显式估计。特别地，我们的结果适用于弹性系统，也适用于麦克斯韦系统。作为一个应用，我们研究了确定破裂面的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拓的新特征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Partial Differential Equations 数学-数学

CiteScore

3.60

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal aims to publish high quality papers concerning any theoretical aspect of partial differential equations, as well as its applications to other areas of mathematics. Suitability of any paper is at the discretion of the editors. We seek to present the most significant advances in this central field to a wide readership which includes researchers and graduate students in mathematics and the more mathematical aspects of physics and engineering.