Abstract and Applied Analysis
Volume 6 (2001), Issue 6, Pages 357-368
doi:10.1155/S108533750100063X
Local exact controllability of the age-dependent population dynamics with diffusion
Bedr'Eddine Ainseba1
and Sebastian Aniţa2
1Université Victor Segalen Bordeaux II, 33076 Bordeaux Cedex, France et Mathématiques appliquées de Bordeaux, UMR CNRS, 5466, France
2Faculty of Mathematics, University “Al.I. Cuza” and Institute of Mathematics of the Romanian Academy, Iaşi 6600, Romania
Abstract
We investigate the local exact controllability of a linear age and space population dynamics model where the birth process is nonlocal. 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.