Examinando por Autor "Micu, Sorin"

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    Null-controllability properties of the wave equation with a second order memory term
    (Academic Press Inc., 2019-07-05) Biccari, Umberto; Micu, Sorin
    We study the internal controllability of a wave equation with memory in the principal part, defined on the one-dimensional torus T=R/2πZ. We assume that the control is acting on an open subset ω(t)⊂T, which is moving with a constant velocity c∈R∖{−1,0,1}. The main result of the paper shows that the equation is null controllable in a sufficiently large time T and for initial data belonging to suitable Sobolev spaces. Its proof follows from a careful analysis of the spectrum associated with our problem and from the application of the classical moment method.