Due to the limited volume of a review, I do not go beyond a survey of the invited lectures. For infinite dimensional periodic optimal control problems governed by parabolic and hyperbolic linear equations with distributed control the existence theorem and the maximum principle are proved under weakening the stabilizability condition. It is shown how the classical models of Naghdi and Koiter and the asymptotic model with tangential operators can be reformulated in terms of intrinsic operators. The domain decomposition is performed according to the additive Schwartz method. The simple inexact solvers are developed for this method which can also be applied to problems with discontinuous coefficients.
Control variables are the number and the position of extraction wells and the extractions rates.
The numerical experiment uses Monte-Carlo technique. The regularizing property of hysteresis operator for ordinary differential equations and the existence of solutions of partial differential equations with hysteresis are studied. Amsterdam B. V. Published in The Netherlands under license by Gordon and Breach Science Publishers, a member of The Gordon and Breach Publishing Group. All rights reserved. This site is optimally designed for Netscape .