Controllability for the wave equation with moving boundary

De Jesus I.P.; Cabanillas Lapa E.; Limaco J. · Electronic Journal of Differential Equations (2021)

Resumen

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.

Instituciones: Universidad Nacional Mayor de San Marcos