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Control Operators and Fundamental Control Functions in Data Assimilation

  • V. Shutyaev
Conference paper
Part of the NATO Science Series book series (NAIV, volume 26)

Abstract

Consider mathematical model of a physical pro cess that is described by the evolution problem
$$ \left\{ {\begin{array}{*{20}c} {\frac{{d\phi }} {{dt}} + A(t)\phi = f,t \in (0,T)} \\ {\phi \left| {_{t = 0} = u,} \right.} \\ \end{array} } \right. $$
(1.1)
where ϕ = ϕ(t) is the unknown function belonging for any A(t) is an operatior (generally, non linear) acting for each t in the Hilbert space X, uX, and f = f(t) is a prescribed function.

Keywords

Data Assimilation Control Operator Regul Ariz Ation Method Kronecker Delta Approximate Cont Rollability 
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 Science+Business Media Dordrecht 2003

Authors and Affiliations

  • V. Shutyaev
    • 1
  1. 1.Institute of Numerical MathematicsRussian Academy of SciencesMoscowRussia

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