Null Controllability of a System of Degenerate Nonlinear Coupled Equations Derived from Population Dynamics

摘要

In this paper, we study the null controllability property of a nonlinear coupled model with degenerate diffusion term. Firstly, we establish a Carleman type inequality for the adjoint system of an intermediate model. From this inequality, we derive our observability inequality. Next, by a fixed point argument, we prove the null controllability result with an internal control acting on a small subset of the domain.