反问题中断层摩擦系数的稳定恢复
偏微分方程分析
2024-05-03 v2
摘要
我们考虑确定 Tresca 摩擦模型中摩擦系数的反断层摩擦问题，其可表述为微分不等式的反问题。我们证明，破裂期间弹性波的测量能唯一确定破裂表面的摩擦系数，并带有显式稳定性估计。
引用
@article{arxiv.2310.12698,
title = {Stable recovery of coefficients in an inverse fault friction problem},
author = {Maarten V. de Hoop and Matti Lassas and Jinpeng Lu and Lauri Oksanen},
journal= {arXiv preprint arXiv:2310.12698},
year = {2024}
}
备注
Final version with added details and corrections, to appear in Arch. Ration. Mech. Anal