Uniform Null Controllability for a Degenerating Reaction-Diffusion System Approximating a Simplified Cardiac Model

This paper is devoted to analyze the null controllability of a nonlinear reaction-diffusion system approximating a parabolic-elliptic system modeling electrical activity in the heart. The uniform, with respect to the degenerating parameter, null controllability of the approximating system by means of a single control is shown. The proof is based on the combination of Carlemans estimates and weighted energy inequalities.

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