Controllability of Degenerating Reaction-Diffusion System in Electrocardiology

Details Controllability of Degenerating Reaction-Diffusion System in Electrocardiology Controllability of Degenerating Reaction-Diffusion System in Electrocardiology

2011-06-09

arxiv.org/abs/1106.1788v1

Mathematics

Optimization and Control

26 pages

Scientific paper

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 a single control force acting on a subdomain is shown. The proof needs a precisely estimate with respect to the degenerating parameter and it is done combining Carleman estimates and energy inequalities.

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