Year: 2026
Type: preprint
Abstract: We study the simultaneous identification of the Lamé parameters $λ$ and $μ$ in three-dimensional static isotropic elasticity. For smooth coefficients, we establish uniqueness from the full Dirichlet-to-Neumann map when $μ$ is axisymmetric, admits a multiplicative or additive separation on a product domain, or is quasianalytic in one fixed direction. These results require neither smallness of $\nablaμ$ nor real analyticity of the coefficients, and impose no corresponding structural condition on $λ$. In the axisymmetric and separated cases, partial boundary data suffice to determine $μ$.
Source: arXiv (Cornell University)
Authors: Chen, Lu, Jiang, Yan, Liu, Hongyu, Tao, Longyue
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213597868