Stable recovery of coefficients in an inverse fault friction problem

Fuente: arXiv
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Autores principales: de Hoop, Maarten V., Lassas, Matti, Lu, Jinpeng, Oksanen, Lauri
Formato: Preprint
Publicado: 2023
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author de Hoop, Maarten V.
Lassas, Matti
Lu, Jinpeng
Oksanen, Lauri
author_facet de Hoop, Maarten V.
Lassas, Matti
Lu, Jinpeng
Oksanen, Lauri
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2310_12698
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Stable recovery of coefficients in an inverse fault friction problem
de Hoop, Maarten V.
Lassas, Matti
Lu, Jinpeng
Oksanen, Lauri
Analysis of PDEs
35R30, 35Q86
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.
title Stable recovery of coefficients in an inverse fault friction problem
topic Analysis of PDEs
35R30, 35Q86
url https://arxiv.org/abs/2310.12698