English

Stable recovery of coefficients in an inverse fault friction problem

Analysis of PDEs 2024-05-03 v2

Abstract

We consider the inverse fault friction problem of determining the friction coefficient in the Tresca friction model, which can be formulated as an inverse problem for differential inequalities. We show that the measurements of elastic waves during a rupture uniquely determine the friction coefficient at the rupture surface with explicit stability estimates.

Keywords

Cite

@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}
}

Comments

Final version with added details and corrections, to appear in Arch. Ration. Mech. Anal