Distributed optimal control of degenerate reaction-diffusion equations

摘要

This paper is concerned with the optimal control of the parabolic p- Laplace equation with lower order reaction terms. The autonomous equation is shown to be exponentially stable with respect to the square integral norm. On the basis of this result, the task of reference tracking using a distributed control input is investigated and, in particular, the optimal control problem associated to the minimization of a power functional is addressed.