Elena-Alexandra Melnig
Alexandru Ioan Cuza University & Octav Mayer Institute of Mathematics of the Romanian Academy, Iaşi, Romania

We consider systems of reaction-diffusion equations coupled in zero order terms, in annular domains. We establish Lipschitz estimates in $L^2$ for the source in terms of the solution and/or its normal derivative on a connected component of the boundary. The main tool is an appropriate Carleman estimate in $L^2$-norm for nonhomogeneous parabolic systems.