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This text presents a collection of papers devoted to the analysis of various aspects of optimization problems with a common focus on partial differential equations (PDE) models. These papers were presented at the AMS-SIAM 1996 Joint Summer Research Conference held at Mount Holyoke College, South Adley, Massachusetts, in June 1996. The problems considered range from basic theoretical issues in the calculus of variations, such as infinite dimensional Hamilton Jacobi equations, saddle point principles and issues of unique continuation, to 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; and boundary controllability of PDEs including applications to flexible structures. The papers selected for this volume point to modern trends and open problems.
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Manny Rogers
reviewed Optimization methods in partial differential equations on September 26, 2016
Optimization methods in partial differential equations
This is a nice little survey of how all animals, including creations of the mind, have been treated in folklore and mythology worldwide. While this book does not have the depth or breadth of Joseph Campbell's work, it is a good, informative survey, and could even serve as an introduction to this fascinating study.
The author presents the material logically and clearly, and the book is well-written, in an informal approachable and readable style, including some flashes of humor and some amusing parenthetical person asides I knew some of this material, and had a nodding acquaintance with some, but there was much that was new, so I found this book both informative, interesting, and fun to read.
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