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Birkhäuser - Birkhäuser Mathematics | Optimal Control Problems for Partial Differential Equations on Reticulated… - Approximation (Reviews)

Optimal Control Problems for Partial Differential Equations on Reticulated Domains

Approximation and Asymptotic Analysis

Kogut, Peter I., Leugering, Günter R.

2011, XVI, 636p. 26 illus..

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From the reviews:

“The book under review aims to introduce the reader to various classes of optimal control problems (briefly OCP) governed by partial differential equations and to several applications to problems in engineering that can be modeled by them. … The book is very well conceived and the material is organized in a clear and complete way, starting from basic tools such as measure theory, Sobolev spaces, functional analysis, and general variational problems.” (Giuseppe Buttazzo, Mathematical Reviews, August, 2013)

“This book introduces in the mathematical world of optimal control problems posed in reticulated domains. … a great number of very nice and well written examples illustrate the main difficulties behind the questions and the reasons for posing them. The book provides a very good introduction into this important topic and may serve as the basis for a one semester course on optimal control in reticulated domains and for an associated seminary, where specific aspects of the theory can be discussed.” (Fredi Tröltzsch, Zentralblatt MATH, Vol. 1253, 2013)

 

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