Remarks on non controllability of the heat equation with memory
Sergio Guerrero, Oleg Yurievich Imanuvilov (2013)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
In this paper we deal with the null controllability problem for the heat equation with a memory term by means of boundary controls. For each positive final time and when the control is acting on the whole boundary, we prove that there exists a set of initial conditions such that the null controllability property fails.