Null-controllability properties of the wave equation with a second order memory term
No hay miniatura disponible
Fecha
2019-07-05
Autores
Título de la revista
ISSN de la revista
Título del volumen
Editor
Academic Press Inc.
Resumen
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.
Palabras clave
Memory
Moment method
Moving control
Null controllability
Wave equation
Moment method
Moving control
Null controllability
Wave equation
Descripción
Materias
Cita
Biccari, 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.2019.02.009