Alexandru Negrescu: Controllability of the Neumann problem for the vibrating string equation, 417-426

Abstract:

We study the controllability of the Neumann problem for the vibrating string equation in one space dimension using the moment problem approach. We prove that every function from $H_0^1(0,\pi)$ is a reachable target for our system at $T=\pi$.

Key Words: Controllability, wave equation, moment method.

2010 Mathematics Subject Classification: Primary 35Q93; Secondary 35L05.