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The Case for Differential Geometry in the Control of Single and Coupled PDEs: The Structural Acoustic Chamber

  • R. Gulliver
  • W. Littman
  • I. Lasiecka
  • R. Triggiani
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 137)

Abstract

In line with the title of the IMA Summer Program—Geometric Methods in Inverse Problems and PDE Control—the aim of the present article may be summarized as follows: we intend to provide a relatively updated survey (subject to space limitations) of results on exact boundary controllability and uniform boundary stabilization of certain general classes of single Partial Differential Equations as well as of classes of systems of coupled PDEs (in dimension strictly greater than one), that have become available in recent years through novel approaches based on differential (Riemannian) geometric methods.

Keywords

Riemannian Manifold Energy Method Schrodinger Equation Unique Continuation Exact Controllability 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York, Inc. 2004

Authors and Affiliations

  • R. Gulliver
    • 1
  • W. Littman
    • 1
  • I. Lasiecka
    • 2
  • R. Triggiani
    • 2
  1. 1.School of Mathematics, Vincent HallUniversity of MinnesotaMinneapolisUSA
  2. 2.Department of Mathematics, Kerchof HallUniversity of VirginiaCharlottesvilleUSA

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