The EMS Publishing House is now EMS Press and has its new home at ems.press.

Please find all EMS Press journals and articles on the new platform.

Zeitschrift für Analysis und ihre Anwendungen


Full-Text PDF (1023 KB) | Metadata | Table of Contents | ZAA summary
Volume 1, Issue 4, 1982, pp. 1–13
DOI: 10.4171/ZAA/23

Published online: 1982-08-31

On some parabolic boundary control problems with constraints on the control and functional-constraints on the state

Fredi Tröltzsch[1]

(1) Technische Universität Berlin, Germany

In this paper parabolic boundary control problems in a $n$-dimensional bounded domain are investigated, where in addition to a pointwise constraint on the control finitely many linear functional constraints on the state are given. As performance functional the $L_{\infty}$- or $L_2$-norm of the difference between the final state and a given (desired) state is used.

A generalized bang-bang-principle is proved which expresses that under natural assumptions almost everywhere (with respect to the time) either the optimal control or the corresponding state is acting on the boundary of its constraints. The assumptions are discussed by examples.

No keywords available for this article.

Tröltzsch Fredi: On some parabolic boundary control problems with constraints on the control and functional-constraints on the state. Z. Anal. Anwend. 1 (1982), 1-13. doi: 10.4171/ZAA/23