Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-like Systems over a Finite Time Horizon: Continuous and Approximation Theories

by Irena Lasiecka, Roberto Triggiani

Overview

Volume II focuses on the optimal control problem over a finite time interval for hyperbolic dynamical systems. The chapters consider some abstract models, each motivated by a particular canonical hyperbolic dynamics, and present numerous new results.

Product Details

ISBN-13:	9780521584012
Publisher:	Cambridge University Press
Publication date:	02/13/2000
Series:	Encyclopedia of Mathematics and its Applications , #75
Edition description:	New Edition
Pages:	452
Product dimensions:	6.50(w) x 9.61(h) x 1.22(d)

Table of Contents

1. Categories; 2. Categories and exact sequences; 3. Change of rings; 4. The Morita theory; 5. Limits in categories; 6. Localization; 7. Local-global methods.

Editorial Reviews

Review of the hardback: 'This excellent work will be a key reference for all of those who are interested in the quadratic optimal control of hyperbolic partial differential equations (PDEs) and in general in the control of PDEs.' A. Akutowicz, Zentralblatt für Mathematik

Review of the hardback: 'The reader will find much important information on various aspects of semigroup theory and on the regularity of solutions of hyperbolic equations.' EMS Newsletter

From the Publisher