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Remarks on non controllability of the heat equation with memory. (English) Zbl 1258.93026
Summary: 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 T 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.
MSC:
93B05Controllability
35K05Heat equation
35K20Second order parabolic equations, initial boundary value problems
93C20Control systems governed by PDE