2012-07-01, English, Article, Report edition: Controllability and observability of an artificial advection--diffusion problem.(Report) Cornilleau, Pierre; Guerrero, Sergio

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Physical Description
  • Report
  • Magazine/​Journal article
Published
  • Springer, 2012 July
Language
  • English

Edition details

Title
  • Controllability and observability of an artificial advection--diffusion problem.(Report)
Also Titled
  • Controllability and observability of an artificial advection--diffusion problem.
Appears In
  • Mathematics of Control, Signals, and Systems (MCSS), v.24, no.3, 2012 July, p.265(30) (ISSN: 0932-4194)
Author
  • Cornilleau, Pierre
  • Guerrero, Sergio
Published
  • Springer, 2012 July
Physical Description
  • Report
  • Magazine/​Journal article
Subjects
Target Audience
  • Academic
Summary
  • Byline: Pierre Cornilleau (1), Sergio Guerrero (2) Keywords: Vanishing diffusion; Carleman estimate; Heat equation Abstract: In this paper we study the controllability of an artificial advection--diffusion system through the boundary. Suitable Carleman estimates give us the observability of the adjoint system in the one dimensional case. We also study some basic properties of our problem such as backward uniqueness and we get an intuitive result on the control cost for vanishing viscosity. Author Affiliation: (1) Lycee du parc des Loges, 1, boulevard des Champs-Elysees, 91012, Evry, France (2) Laboratoire Jacques-Louis Lions, Universite Pierre et Marie Curie, 75252, Paris Cedex 05, France Article History: Registration Date: 07/​02/​2012 Received Date: 09/​03/​2009 Accepted Date: 07/​02/​2012 Online Date: 25/​02/​2012
Terms of Use
  • COPYRIGHT 2012 Springer
Language
  • English
Database
  • Gale Academic OneFile
Identifier
  • 293661796

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