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Existence theorems for optimal control of quasilinear parabolic partial differential equations

Published online by Cambridge University Press:  17 February 2009

S. Nababan  and
E. S. Noussair
E. S. Noussair
Affiliation:
School of Mathematics, University of N.S.W., P.O. Box 1, Kensington, N.S.W. 2033
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Abstract

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The question on existence of optimal controls for a system governed by quasilinear parabolic partial differential equations which is linear in the control variables is considered. It is shown that whenever the controls converge in the weak * topology of L∞, the corresponding solutions converge uniformly. Using this result and results on lower semi-continuity of integral functionals, existence theorems for optimal controls are proved.

Type
Research Article
Information
The ANZIAM Journal , Volume 21 , Issue 1 , April 1979 , pp. 90 - 101
Copyright
Copyright © Australian Mathematical Society 1979

References

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