1980•SIAM Journal on Control and OptimizationRequires access

Controllability Properties of Pseudo-Parabolic Boundary Control Problems

Luther W. White

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.

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Key concepts: Mathematics, Controllability, Parabolic partial differential equation, Uniqueness, Mathematical analysis, Heat equation, Boundary (topology), Interval (graph theory)