Exact Boundary Controllability for Wave Equations With Space Variable Potential

ABSTRACT

In this article, we study an exact boundary controllability problem for a wave equation with a potential that varies in the space on non‐smooth domains of , . The potential considered is a positive space variable function which has the short‐range property, that is when . The obtained control function is of Neumann type, square integrable and acts on all boundary of the considered domain. The result is obtained using the controllability method established by David L. Russell, taking advantage of the local energy decay estimates for the problem established by Vodev, combined with trace theorems due to Daniel Tataru.