On inverse problems arising in fractional elasticity
Li Li
University of California, Los Angeles, USA
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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.
Cite this article
Li Li, On inverse problems arising in fractional elasticity. J. Spectr. Theory 12 (2022), no. 4, pp. 1383–1404
DOI 10.4171/JST/428