TY  - BOOK
AU  - 
AU  - 
AU  - 
ED  - SpringerLink (Online service)
TI  - Optimization of Elliptic Systems: Theory and Applications 
T2  - Springer Monographs in Mathematics,
SN  - 9780387272368
AV  - QA402.5-402.6 
U1  - 519.6 23
PY  - 2006///
CY  - New York, NY
PB  - Springer New York
KW  - Mathematics
KW  - Differential equations, partial
KW  - Mathematical optimization
KW  - Optimization
KW  - Partial Differential Equations
KW  - Applications of Mathematics
N1  - Preface -- Introductory topics -- Existance -- Optimality conditions -- Discretization -- Unknown domains -- Optimization of curved mechanical systems -- Appendix 1: Convex mappings and monotone operators -- Appendix 2: Elliptic equations and variational inequalities -- Appendix 3: Domain convergence -- References; ZDB-2-SMA
N2  - 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 connections between seemingly different types of problems. One basic feature is to relax the needed regularity assumptions as much as possible in order to include larger classes of possible applications. The book is organized into six chapters that give a gradual and accessible presentation of the material, and a special effort is made to present numerous examples. This monograph is addressed primarily to mathematics graduate students and researchers, however much of this material will also prove useful for scientists from physics, mechanics, and engineering
UR  - http://dx.doi.org/10.1007/b138797
ER  -