Stability in inverse source problems for nonlinear reaction–diffusion systems.

We consider coupled parabolic systems with homogeneous boundary conditions. We establish a family of L q -Carleman inequalities, q ∈ [ 2 , ∞) and use them to obtain stability estimates in L q and L ∞ norms for the sources in terms of the solution in a subdomain. We apply these estimates to reaction–diffusion systems. [ABSTRACT FROM AUTHOR]