Exact controllability of nonlinear diffusion equations arising in reactor dynamics

This paper studies the problems of local exact controllability of nonlinear and global exact null controllability of linear parabolic integro-differential equations, respectively, with mixed and Neumann boundary data with distributed controls acting on a subdomain ωω of Ω⊂RnΩ⊂Rn. The proof of the linear problem relies on a Carleman-type estimate and observability inequality for the adjoint equations and that the nonlinear one, on the fixed point technique.