Gauge freedoms in the anisotropic elastic Dirichlet-to-Neumann map
Year: 2024
Type: article
Abstract: We address the inverse problem of recovering the stiffness tensor and density of mass from the Dirichlet-to-Neumann map. We study the invariance of the Euclidean and Riemannian elastic wave equation under coordinate transformations. Furthermore, we present gauge freedoms between the parameters that leave the elastic wave equations invariant. We use these results to present gauge freedoms in the Dirichlet-to-Neumann map associated to the Riemannian elastic wave equation.
Source: Inverse Problems and Imaging
DOI: 10.3934/ipi.2024055
Authors: Joonas Ilmavirta, Hjørdis Schlüter
Institution: University of Jyväskylä
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4405808807