This book discusses theoretical approaches to the study of optimal control problems governed by non-linear evolutions - including semi-linear equations, variational inequalities and systems with phase transitions. It also provides algorithms for solving non-linear parabolic systems and multiphase Stefan-like systems.
". . .a substantial book that will satisfy the appetite of mathematical control theorists. "
". . .accessible. . . . . .highly recommended. . ..a good blend of theoretical and numerical treatment of the subject. "
---Applied Mechanics Reviews
". . .fills a gap in the literature on optimal control theory and its applications. . . .offer[s] an invaluable variety of additional results. . .and also provide[s] the reader with helpful information on the history and priority of the main results. . . .an elegant summing-up of many results that are spread out in the literature, most of them having been obtained by the authors. . ..an excellent monograph. "
Motivating Examples * Preliminaries * Finite Element Approach for Partial Differential Equations * Control Problems * Numerical Analysis of Control Problems * State Constrained Control Problems.