Null controllability of a degenerated reaction-diffusion system in cardiac electro-physiology
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en
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Este ítem está publicado en
Comptes Rendus. Mathématique. 2012, vol. 350, n° 11-12, p. 587-590
Académie des sciences (Paris)
Resumen en inglés
This Note is devoted to the analysis of 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 ...Leer más >
This Note is devoted to the analysis of 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 precise estimate with respect to the degenerating parameter and it is done combining Carleman estimates and energy inequalities.< Leer menos
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