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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…
math.AP2024
Large deformations in terms of stretch and rotation and global solution to the quasi-stationary problem
Abramo Agosti, Pierluigi Colli, Michel Frémond
In this paper we derive a new model for visco-elasticity with large deformations where the independent variables are the stretch and the rotation tensors which intervene with secon…
math.AP2024
Identifying early tumour states in a Cahn-Hilliard-reaction-diffusion model
Abramo Agosti, Elena Beretta, Cecilia Cavaterra +2
In this paper, we tackle the problem of reconstructing earlier tumour configurations starting from a single spatial measurement at a later time. We describe the tumour evolution th…