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Internal exact controllability of the linear population dynamics with diffusion. (English) Zbl 1134.93311

Summary: 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.

MSC:

93B05 Controllability
35K20 Initial-boundary value problems for second-order parabolic equations
46B70 Interpolation between normed linear spaces
92D25 Population dynamics (general)
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