Biccari, UmbertoMicu, Sorin2024-12-122024-12-122019-07-05Biccari, U., & Micu, S. (2019). Null-controllability properties of the wave equation with a second order memory term. Journal of Differential Equations, 267(2), 1376-1422. https://doi.org/10.1016/J.JDE.2019.02.0090022-039610.1016/J.JDE.2019.02.009http://hdl.handle.net/20.500.14454/2165We 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.eng© 2019 Elsevier Inc.MemoryMoment methodMoving controlNull controllabilityWave equationjournal article2024-12-121090-2732