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A Young Measures Approach to Averaging

  • Zvi Artstein
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 75)

Abstract

Employing a fast time scale in the Averaging Method results in a limit dynamics driven by a Young measure. The rate of convergence to the limit induces quantitative estimates for the averaging. Advantages that can be drawn from the Young measures approach, in particular, allowing time-varying averages, are displayed along with a connection to singularly perturbed systems.

Keywords

Probability Measure Average Method Singular Perturbation Lipschitz Constant Classical Average 
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

© Birkhäuser Verlag Basel/Switzerland 2007

Authors and Affiliations

  • Zvi Artstein
    • 1
  1. 1.Department of MathematicsThe Weizmann Institute of ScienceRehovotIsrael

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