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

Date
2023
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor & Francis
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.

Description
Advisor
Degree
Type
Journal article
Keywords
Citation

de Hoop, Maarten V., Lassas, Matti, Lu, Jinpeng, et al.. "Quantitative unique continuation for the elasticity system with application to the kinematic inverse rupture problem." Communications in Partial Differential Equations, 48, no. 2 (2023) Taylor & Francis: 286-314. https://doi.org/10.1080/03605302.2023.2175215.

Has part(s)
Forms part of
Rights
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Citable link to this page