Bedr'Eddine Ainseba, Sebastian Anita
Abstract:
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
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 |
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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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