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Applied Mathematics and Optimization

, Volume 6, Issue 1, pp 201–220 | Cite as

Boundary feedback stabilizability of parabolic equations

  • Roberto Triggiani
Article

Abstract

A parabolic equation defined on a bounded domain is considered, with input acting on theboundary expressed as a specifiedfeedback of the solution. Both Dirichlet and mixed (in particular, Neumann) boundary conditions are treated. Algebraic conditions based on the finitely many unstable eigenvalues are given, ensuring the existence ofboundary vectors, for which all the solutions to theboundary feedback parabolic equation decay exponentially to zero ast→+∞ in (essentially) the strongest possible space norm. A semigroup approach is employed.

Keywords

Boundary Condition System Theory Mathematical Method Bounded Domain Parabolic Equation 
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 1980

Authors and Affiliations

  • Roberto Triggiani
    • 1
  1. 1.Mathematics DepartmentIowa State UniversityAmesUSA

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