3 papers
math.AP2026
Recovery of an Anisotropic Conductivity from the Neumann-to-Dirichlet Map in a Semilinear Elliptic Equation
Elena Beretta, Elisa Francini, Dario Pierotti +1
We study the inverse boundary value problem of detecting a non-uniform conductivity motivated by pacing-guided ablation in cardiac electrophysiology. At the stationary level, the t…
math.AP2025
Lipschitz Stability for Polyhedral Elastic Inclusions from Partial Data
Andrea Aspri, Elena Beretta, Elisa Francini +4
The paper deals with the inverse problem of determining a polyhedral inclusion compactly contained in an elastic body from boundary measurements of traction and displacement taken…
math.AP2025
Dislocations in a layered elastic medium with applications to fault detection
Andrea Aspri, Elena Beretta, Anna L. Mazzucato
We consider a model for elastic dislocations in geophysics. We model a portion of the Earth's crust as a bounded, inhomogeneous elastic body with a buried fault surface, along whic…