Controllability for the wave equation with moving boundary
Date
2021-07-05
Authors
De Jesus, Isaias P.
Lapa, Eugenio Cabanillas
Limaco, Juan
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we study the boundary controllability for a one-dimensional string equation on a domain with time-dependent boundary. This equation models small vibrations of a string with one of its endpoint fixed and other moving with speed k(t). We use an inverse inequality to obtain a controllability result. We consider a linear wave equation.
Description
Keywords
Wave equation, Stackelberg-Nash strategies, Controllability, Inverse inequality
Citation
De Jesus, I. P., Lapas, E. C., & Limaco, J. (2021). Controllability for the wave equation with moving boundary. <i>Electronic Journal of Differential Equations, 2021</i>(60), pp. 1-12.
Rights
Attribution 4.0 International