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math.AP2026
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.AP2025
The inverse obstacle problem for nonlinear inclusions
Vincenzo Mottola, Antonio Corbo Esposito, Luisa Faella +3
The Monotonocity Principle (MP), stating a monotonic relationship between a material property and a proper corresponding boundary operator, is attracting great interest in the fiel…
math.AP2024
Piecewise nonlinear materials and Monotonicity Principle
Antonio Corbo Esposito, Luisa Faella, Vincenzo Mottola +3
This paper is focused on the Monotonicity Principle (MP) for nonlinear materials with piecewise growth exponent. This results are relevant because enables the use of a fast imaging…