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We consider systems of reaction-diffusion equations coupled in zero order terms, with general homogeneous boundary conditions in domains with a particular geometry (annular type domains). We establish Lipschitz stability estimates in L² norm for the source in terms of the solution and/or its normal derivative on a connected component of the boundary. The main tools are represented by: appropriate Carleman estimates in L² norms, with boundary observations, and positivity improving properties for the solutions to parabolic equations and systems.
Lefter et al. (2024) studied this question.