Affiliations: Facultatea de Matematica si Informatica, Universitatea din Craiova, Craiova, Romania | Instituto de Matemáticas, Universidad Nacional Autónoma de México, México
Note: [] Corresponding author: Luz de Teresa, Instituto de Matemáticas, Universidad Nacional Autónoma de México, Circuito Exterior, C.U., 04510, D.F., México. Tel.: +52 55 5622 4766; Fax: +52 55 5616 0348; E-mail: [email protected].
Abstract: The paper studies the controllability properties of the linear 2-D wave equation in the rectangle Ω=(0, a)×(0, b). We consider two types of action, on an edge or on two adjacent edges of the boundary. Our analysis is based on Fourier expansion and explicit construction and evaluation of biorthogonal sequences. This method allows us to measure the magnitude of the control needed for each eigenfrequency. In both analyzed cases we give a Fourier characterization of the controllable spaces of initial data and we construct particular controls for them.
