Controllability Properties of Pseudo-Parabolic Boundary Control Problems

Abstract

We study the boundary control of a pseudo-parabolic equation and compare the results to those of parabolic equations. We find that the pseudo-parabolic equation on a finite interval is controllable by means of boundary controls, but on a semi-infinite interval it is not controllable. These results are a consequence of uniqueness and support properties of solutions of the pseudo-parabolic equation.

Identifiers

DOI

10.1137/0318039

Citations and references