The wave equation with locally distributed control in non-cylindrical domain

Abstract

Abstract This paper is concerned with exact internal controllability for a one-dimensional wave equation in a non-cylindrical domain. This equation characterizes the motion of a string with a fixed endpoint and the other moving one. When the speed of the moving endpoint is less than wave speed, exact internal controllability of this equation is established.

Keywords

• Locally distributed control
• Wave equation
• Non-cylindrical domain