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Carleman Estimates and Applications to Uniqueness and Control Theory

  • Book
  • © 2001

Overview

Editors:
  1. Ferruccio Colombini

    1. Dipartimento di Matematica, Università di Pisa, Pisa, Italy

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  2. Claude Zuily

    1. Laboratoire de Mathématique, Université de Paris Sud—Orsay, Orsay, France

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications (PNLDE, volume 46)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-vii
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  2. Stabilization for the Wave Equation on Exterior Domains

    • L. Aloui, M. Khenissi
    Pages 1-13

  3. Carleman Estimate and Decay Rate of the Local Energy for the Neumann Problem of Elasticity

    • Mourad Bellassoued
    Pages 15-36

  4. Microlocal Defect Measures for Systems

    • Nicolas Burq
    Pages 37-47

  5. Strong Uniqueness for Laplace and Bi-Laplace Operators in the Limit Case

    • F. Colombini, C. Grammatico
    Pages 49-60

  6. Stabilization for the Semilinear Wave Equation in Bounded Domains

    • B. Dehman
    Pages 61-72

  7. Recent Results on Unique Continuation for Second Order Elliptic Equations

    • Herbert Koch, Daniel Tataru
    Pages 73-84

  8. Strong Uniqueness for Fourth Order Elliptic Differential Operators

    • Philippe Le Borgne
    Pages 85-108

  9. Second Microlocalization Methods for Degenerate Cauchy—Riemann Equations

    • Nicolas Lerner
    Pages 109-128

  10. A Gårding Inequality on a Manifold with Boundary

    • Nicolas Lerner, Xavier Saint Raymond
    Pages 129-138

  11. Some Necessary Conditions for Hyperbolic Systems

    • Tatsuo Nishitani
    Pages 139-147

  12. Strong Unique Continuation Property for First Order Elliptic Systems

    • Takashi Ōkaji
    Pages 149-164

  13. Observability of the Schrödinger Equation

    • Kim dang Phung
    Pages 165-177

  14. Unique Continuation from Sets of Positive Measure

    • Rachid Regbaoui
    Pages 179-190

  15. Some Results and Open Problems on the Controllability of Linear and Semilinear Heat Equations

    • Enrique Zuazua
    Pages 191-211

  16. Back Matter

    Pages 213-214
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Keywords

Editors and Affiliations

  • Dipartimento di Matematica, Università di Pisa, Pisa, Italy

    Ferruccio Colombini

  • Laboratoire de Mathématique, Université de Paris Sud—Orsay, Orsay, France

    Claude Zuily

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