On inverse problems arising in fractional elasticity

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.

References in corpus (4)

• Uniqueness and reconstruction for the fractional Calderón problem with a single measurement
• The fractional Calderón problem: low regularity and stability
• An inverse problem for a fractional diffusion equation with fractional power type nonlinearities
• An Inverse Problem for Non-linear Fractional Magnetic Schrodinger Equation

Cited by in corpus (1)

• An inverse problem for the fractional porous medium equation