Electron. J. Diff. Eqns.,Vol. 2004(2004), No. 112, pp. 1-11

Internal exact controllability of the linear population dynamics with diffusion

Bedr'Eddine Ainseba, Sebastian Anita

We consider the internal exact controllability of a linear age and space structured population model with nonlocal birth process. The control acts only in a spatial subdomain and only for small age classes. The methods we use combine the Carleman estimates for the backward adjoint system, some estimates in the theory of parabolic boundary value problems in $L^k$ and the Banach fixed point theorem.

Submitted January 4, 2004. Published September 29, 2004.
Math Subject Classifications: 93B05, 35K05, 46B70, 92D25.
Key Words: Exact controllability; age-structured population dynamics.

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Bedr'Eddine Ainseba
Mathématiques Appliquées de Bordeaux, UMR CNRS 5466
Case 26, UFR Sciences et Modélisation
Université Victor Segalen Bordeaux 2, 33076 Bordeaux Cedex, France
email: ainseba@sm.u-bordeaux2.fr
Sebastian Anita
Faculty of Mathematics, University "Al.I. Cuza"
and Institute of Mathematics of the Romanian Academy
Iasi 6600, Romania
email: sanita@uaic.ro

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