Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article

Journal of Convex Analysis 09 (2002), No. 2, 543--561
Copyright Heldermann Verlag 2002

Sensitivity Analysis for Parametric Optimal Control of Semilinear Parabolic Equations

Kazimierz Malanowski
Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warszawa, Poland

Parametric optimal control problems for semilinear parabolic equations are considered. Using recent Lipschitz stability results for solutions of such problems, it is shown that, under standard coercivity conditions, the solutions are Bouligand differentiable (in Lp, p finite) functions of the parameter. The differentials are characterized as the solutions of accessory linear-quadratic problems. A uniform second order expansion of the optimal value function is obtained, as a corollary.

Keywords: Parametric optimal control, semilinear parabolic equations, control constraints, Bouligand differentiability of the solutions.

MSC: 49K40; 49K20, 49K30

[ Fulltext-pdf  (465  KB)]