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Existence theorems for optimal control of quasilinear parabolic partial differential equations
Published online by Cambridge University Press: 17 February 2009
Abstract
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.
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- Copyright © Australian Mathematical Society 1979
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