Determining a parabolic-elliptic-elliptic system by boundary observation of its non-negative solutions under chemotaxis background
This research tackles a difficult inverse problem: uniquely identifying all unknown coefficients in a complex, coupled nonlinear system of mixed parabolic-elliptic-elliptic type using only boundary measurements of non-negative solutions. By establishing a complete theoretical framework and rigorous unique identifiability results, the study provides the necessary tools to fully recover parameters for an attraction-repulsion chemotaxis model.