C.I.M.E. Foundation Subseries

Control of Partial Differential Equations

Cetraro, Italy 2010, Editors: Piermarco Cannarsa, Jean-Michel Coron

Authors: Alabau-Boussouira, F., Brockett, R., Glass, O., Le Rousseau, J., Zuazua, E.

Editors: Cannarsa, Piermarco, Coron, Jean-Michel (Eds.)

  • Self-contained: the book can be used by researchers in partial differential equations who want to learn about the control of such equations without requiring a special background in control theory.
  • Covers the main recent progress in control of partial differential equations.
  • Includes numerous challenging open problems
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  • ISBN 978-3-642-27893-8
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  • ISBN 978-3-642-27892-1
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About this book

The term “control theory” refers to the body of results - theoretical, numerical and algorithmic - which have been developed to influence the evolution of the state of a given system in order to meet a prescribed performance criterion. Systems of interest to control theory may be of very different natures. This monograph is concerned with models that can be described by partial differential equations of evolution. It contains five major contributions and is connected to the CIME Course on Control of Partial Differential Equations that took place in Cetraro (CS, Italy), July 19 - 23, 2010. Specifically, it covers the stabilization of evolution equations, control of the Liouville equation, control in fluid mechanics, control and numerics for the wave equation, and Carleman estimates for elliptic and parabolic equations with application to control. We are confident this work will provide an authoritative reference work for all scientists who are interested in this field, representing at the same time a friendly introduction to, and an updated account of, some of the most active trends in current research.

Table of contents (5 chapters)

  • On Some Recent Advances on Stabilization for Hyperbolic Equations

    Alabau-Boussouira, Fatiha

    Pages 1-100

  • Notes on the Control of the Liouville Equation

    Brockett, Roger

    Pages 101-129

  • Some Questions of Control in Fluid Mechanics

    Glass, Olivier

    Pages 131-206

  • Carleman Estimates and Some Applications to Control Theory

    Rousseau, Jérôme

    Pages 207-243

  • The Wave Equation: Control and Numerics

    Ervedoza, Sylvain (et al.)

    Pages 245-339

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-642-27893-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.95
price for USA
  • ISBN 978-3-642-27892-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Control of Partial Differential Equations
Book Subtitle
Cetraro, Italy 2010, Editors: Piermarco Cannarsa, Jean-Michel Coron
Authors
Editors
  • Piermarco Cannarsa
  • Jean-Michel Coron
Series Title
C.I.M.E. Foundation Subseries
Series Volume
2048
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-27893-8
DOI
10.1007/978-3-642-27893-8
Softcover ISBN
978-3-642-27892-1
Edition Number
1
Number of Pages
XIII, 344
Number of Illustrations and Tables
17 b/w illustrations, 49 illustrations in colour
Topics