Contemporary Mathematics 1997; 349 pp; softcover Volume: 209 ISBN10: 0821806041 ISBN13: 9780821806043 List Price: US$84 Member Price: US$67.20 Order Code: CONM/209
 This book presents a collection of papers written by specialists in the field and devoted to the analysis of various aspects of optimization problems with a common focus on partial differential equation (PDE) models. These papers were presented at the AMSSIAM 1996 Joint Summer Research Conference held at Mount Holyoke College, South Hadley, MA, in June 1996. The problems considered range from basic theoretical issues in the calculus of variationssuch as infinite dimensional Hamilton Jacobi equations, saddle point principles, and issues of unique continuationto ones focusing on application and computation, where theoretical tools are tuned to more specifically defined problems. The last category of these problems include inverse/recovery problems in physical systems, shape optimization and shape design of elastic structures, control and optimization of fluids, boundary controllability of PDE's including applications to flexible structures, etc. The papers selected for this volume are at the forefront of research and point to modern trends and open problems. This book will be a valuable tool not only to specialists in the field interested in technical details, but also to scientists entering the field who are searching for promising directions for research. Readership Graduate students and research mathematicians interested in analytical and/or numerical methods in calculus of variations and in PDEs. Table of Contents  F. Alabau and V. Komornik  Boundary observability and controllability of linear elastodynamic systems
 Y. Amirat and J. Simon  Riblets and drag minimization
 G. Achmuty  Minmax problems for nonpotential operator equations
 P. Cannarsa and C. Sinestrari  An infinite dimensional time optimal control problem
 B. Dacorogna and P. Marcellini  Dirichlet problem for nonlinear first order partial differential equations
 M. C. Delfour and J.P. Zolésio  Hidden boundary smoothness for some classes of differential equations on submanifolds
 M. C. Delfour and J.P. Zolésio  Convergence to the asymptotic model for linear thin shells
 F. Fahroo and K. Ito  Variational formulation of optimal damping designs
 A. V. Fursikov and O. Y. Imanuvilov  Local exact boundary controllability of the NavierStokes system
 V. Isakov  On uniqueness and stability in the Cauchy problem
 K. Kunisch and S. Volkwein  Augmented LagrangianSQP techniques and their approximations
 J. E. Lagnese  Recent progress and open problems in control of multilink elastic structures
 K. A. Lurie  Spatiotemporal control in the coefficients of linear hyperbolic equations
 R. A. Polyak  Modified interior distance functions
 B. Rao  Optimal energy decay rate in a damped Rayleigh beam
 D. L. Russell  Approximate and exact formability of twodimensional elastic structures; Complete and incomplete actuator families
 J. Sokołowski  Displacement derivatives in shape optimization of thin shells
 D. Tataru  Carleman estimates, unique continuation and controllability for anizotropic PDE's
 R. Temam and M. Ziane  NavierStokes equations in thin spherical domains
 R. Triggiani  The algebraic Riccati equation with unbounded control operator: The abstract hyperbolic case revisited
 M. I. Zelikin  Oneparameter families of solutions to a class of PDE optimal control problems
