314 citations · 526 across the 45 of their papers we have counts for
49 papers
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…
Doubling Inequality and Strong Unique Continuation for an Elliptic Transmission Problem
Tianrui Dai, Elisa Francini, Sergio Vessella
We investigate the Strong Unique Continuation Property (SUCP) for elliptic equations with piecewise Lipschitz coefficients exhibiting jump discontinuities across a regular interfac…
Stable determination of the Winkler subgrade coefficient in a nanoplate
G. Alessandrini, A. Morassi, E. Rosset +2
We study the inverse problem of determining the Winkler coefficient in a nanoplate resting on an elastic foundation and clamped at the boundary. The nanoplate is described within a…
On an inverse problem with applications in cardiac electrophysiology
Andrea Aspri, Elena Beretta, Elisa Francini +2
In this paper, we consider the monodomain model of cardiac electrophysiology. After an analysis of the well-posedness of the forward problem, we show that perfectly insulating regi…
Notes on unique continuation properties for Partial Differential Equations -- Introduction to the stability estimates for inverse problems
Sergio Vessella
These Notes are intended for graduate or undergraduate students who have familiarity with Lebesgue measure theory, partial differential equations, and functional analysis. The main…
Early-warning inverse source problem for the elasto-gravitational equations
Lorenzo Baldassari, Maarten V. de Hoop, Elisa Francini +1
Through coupled physics, we study an early-warning inverse source problem for the elasto-gravitational equations. It consists of a mixed hyperbolic-elliptic system of partial diffe…