3 papers
math.AP2025
Monotonicity of the Laplace Transform for Tomography in Dissipative Systems
Antonello Tamburrino, Antonio Corbo Esposito, Gianpaolo Piscitelli
This paper addresses the problem of tomography for the interior of dissipative materials, with a focus on Magnetic Induction Tomography (MIT), a proven technique for imaging the in…
math.NA2024
Tomography of nonlinear materials via the Monotonicity Principle
Vincenzo Mottola, Antonio Corbo Esposito, Gianpaolo Piscitelli +1
In this paper we present a first non-iterative imaging method for nonlinear materials, based on Monotonicity Principle. Specifically, we deal with the inverse obstacle problem, whe…
math.NA2023
Imaging of nonlinear materials via the Monotonicity Principle
Vincenzo Mottola, Antonio Corbo Esposito, Gianpaolo Piscitelli +1
Inverse problems, which are related to Maxwell's equations, in the presence of nonlinear materials is a quite new topic in the literature. The lack of contributions in this area ca…