Exact controllability of nonlinear diffusion equations arising in reactor dynamics

摘要

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 omega of Omega subset of R-n. The proof of the linear problem relies on a Carlernan-type estimate and observability inequality for the adjoint equations and that the nonlinear one, on the fixed point technique. (c) 2007 Elsevier Ltd. All rights reserved.