We consider a model for the heat equation with memory, which has infinite propagation speed, like the standard heat equation. We prove that, in spite of ...

We prove that the one-dimensional heat equation with memory cannot be controlled to rest for large classes of memory kernels and controls.

Abstract. We consider a model for the heat equation with memory, which has infinite propagation speed, like the standard heat equation. We.

In this paper we deal with the null controllability problem for the heat equation with a memory term by means of boundary controls.

Dec 12, 2014 · In this paper we consider the heat equation with memory in a bounded region. Ω ⊂ Rd, d ≥ 1, in the case that the propagation speed of the ...

Apr 4, 2013 · Abstract:Heat equations with memory of Gurtin-Pipkin type have controllability properties which strongly resemble those of the wave equation.

Mar 12, 2016 · We consider a model for the heat equation with memory, which has infinite propagation speed, like the standard heat equation.

Apr 4, 2013 · Abstract. Heat equations with memory of Gurtin-Pipkin type (i.e. Eq. (1) with α = 0) have controllability properties which strongly resemble.

Ivanov and L. Pandolfi, Heat equation with memory : Lack of controllability to rest. ... Remarks on non controllability of the heat equation with memory.

PANDOLFI, Heat equation with memory: Lack of controllability to the rest, J. Math. Anal. Appl., 355, pp. 1–11,. 2009. 8. V. KOMORNIK, G. TENENBAUM, An Ingham ...