3 papers
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.AP2026
Inverse source problems with reduced interior data for a coupled reaction-diffusion system
Xinyue Luo, Masahiro Yamamoto, Jin Cheng
We consider a two-component semilinear reaction-diffusion system in a bounded spatial domain over a time interval , which governs the water density and the veg…
math.AP2025
Uniqueness in determining multidimensional domains with unknown initial data
Jone Apraiz, Anna Doubova, Enrique Fernández-Cara +1
This paper addresses several geometric inverse problems for some linear parabolic systems where the initial data (and sometimes also the coefficients of the equations) are unknown.…