Control of Partial Differential Equations

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

  • Fatiha Alabau-Boussouira
  • Roger Brockett
  • Olivier Glass
  • Jérôme Le Rousseau
  • Enrique Zuazua

Part of the Lecture Notes in Mathematics book series (LNM, volume 2048)

Also part of the C.I.M.E. Foundation Subseries book sub series (LNMCIME, volume 2048)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Roger Brockett
    Pages 101-129
  3. Olivier Glass
    Pages 131-206
  4. Sylvain Ervedoza, Enrique Zuazua
    Pages 245-339
  5. Back Matter
    Pages 341-344

About this book

Introduction

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.

Keywords

35B35, 93B05, 93B07, 93B52, 93C20, 93D15, 76B75, 65M10, 65M12 control theory fluid control numerical analysis stabilization

Authors and affiliations

  • Fatiha Alabau-Boussouira
    • 1
  • Roger Brockett
    • 2
  • Olivier Glass
    • 3
  • Jérôme Le Rousseau
    • 4
  • Enrique Zuazua
    • 5
  1. 1.LMAMUniversité Paul Verlaine-MetzMetzFrance
  2. 2.Engineering and Applied SciencesHarvard UniversityCambridgeUSA
  3. 3.CEREMADEUniversité Paris-DauphineParisFrance
  4. 4.Laboratoire MAPMOUniversité d'OrléansOrléansFrance
  5. 5.Basque Center for Applied MathematicsDerioSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-27893-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-27892-1
  • Online ISBN 978-3-642-27893-8
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book