The present monograph is intended to provide a comprehensive and accessible introduction to the optimization of elliptic systems. This area of mathematical research, which has many important applications in science and technology. has experienced an impressive development during the past two decades. There are already many good textbooks dealing with various aspects of optimal design problems. In this regard, we refer to the works of Pironneau 1984], Haslinger and Neittaanmaki 1988], 1996], Sokolowski and Zolksio 1992], Litvinov 2000], Allaire 2001], Mohammadi and Pironneau 2001],...
The present monograph is intended to provide a comprehensive and accessible introduction to the optimization of elliptic systems. This area of mathema...
Studying distributed control problems governed by various nonsmooth state systems, this book investigates the existence of optimal pairs, first order optimality conditions, state-constrained systems, and approximation and discretization.
Studying distributed control problems governed by various nonsmooth state systems, this book investigates the existence of optimal pairs, first order ...
This monograph provides a comprehensive and accessible introduction to the optimization of elliptic systems. This area of mathematical research, which has many important application in science and technology, has experienced an impressive development during the last two decades. This monograph aims to address some of the pressing unsolved questions in the field. The exposition concentrates along two main directions: the optimal control of linear and nonlinear elliptic equations, and problems involving unknown and/or variable domains. Throughout this monograph, the authors elucidate...
This monograph provides a comprehensive and accessible introduction to the optimization of elliptic systems. This area of mathematical research, wh...
Analysis and Optimization of Differential Systems focuses on the qualitative aspects of deterministic and stochastic differential equations. Areas covered include: Ordinary and partial differential systems; Optimal control of deterministic and stochastic evolution equations; Control theory of Partial Differential Equations (PDE's); Optimization methods in PDE's with numerous applications to mechanics and physics; Inverse problems; Stability theory; Abstract optimization problems; Calculus of variations; Numerical treatment of solutions to...
Analysis and Optimization of Differential Systems focuses on the qualitative aspects of deterministic and stochastic differential equation...
