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math.AP2026
Global existence for Consensus-Based Kinetic Models for Image Segmentation
Abramo Agosti, Pierluigi Colli, Elisabetta Rocca +1
In this article, we analyze a recently introduced kinetic model based on Hegselmann-Krause-type interaction dynamics describing consensus-based image segmentation in the mean-field…
math.AP2026
Carleman estimates for backward Cahn-Hilliard-reaction-diffusion problems
Abramo Agosti, Elena Beretta, Cecilia Cavaterra +2
We study a backward inverse problem for a coupled Cahn-Hilliard-reaction-diffusion system. Our main result is a Carleman estimate for a fourth-order/second-order parabolic system w…