On inverse problems arising in fractional elasticity

2021/09/08 by Li Li, Li, Li
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2109.03387

openalex publication_date 2021/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We first formulate an inverse problem for a linear fractional Lamé system. We determine the Lamé parameters from exterior partial measurements of the Dirichlet-to-Neumann map. We further study an inverse obstacle problem as well as an inverse problem for a nonlinear fractional Lamé system. Our arguments are based on the unique continuation property for the fractional operator as well as the associated Runge approximation property.

Citations

• An Inverse Problem for Non-linear Fractional Magnetic Schrodinger Equation

Related

• Uniqueness in an inverse problem of fractional elasticity
• The Fractional Lamé-Navier Operator: Appearances, Properties and Applications
• Inverse problems for the fractional Laplace equation with lower order nonlinear perturbations
• Stability analysis of an inverse coefficients problem in a system of partial differential equations
• On generalized Holmgren's principle to the Lamé operator with applications to inverse elastic problems