Geodesic
Internal exact controllability of the linear population dynamics with diffusion
Electronic journal of differential equations, Tome 2004 (2004)
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.
Classification : 93B05, 35K05, 46B70, 92D25
Keywords: exact controllability, age-structured population dynamics 
@article{EJDE_2004__2004__a158,
     author = {Ainseba,  Bedr'Eddine and Anita,  Sebastian},
     title = {Internal exact controllability of the linear population dynamics with diffusion},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1134.93311},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a158/}
}
TY  - JOUR
AU  - Ainseba,  Bedr'Eddine
AU  - Anita,  Sebastian
TI  - Internal exact controllability of the linear population dynamics with diffusion
JO  - Electronic journal of differential equations
PY  - 2004
VL  - 2004
UR  - http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a158/
LA  - en
ID  - EJDE_2004__2004__a158
ER  - 
%0 Journal Article
%A Ainseba,  Bedr'Eddine
%A Anita,  Sebastian
%T Internal exact controllability of the linear population dynamics with diffusion
%J Electronic journal of differential equations
%D 2004
%V 2004
%U http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a158/
%G en
%F EJDE_2004__2004__a158
Ainseba,  Bedr'Eddine; Anita,  Sebastian. Internal exact controllability of the linear population dynamics with diffusion. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a158/