A Young Measures Approach to Averaging
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.
KeywordsProbability Measure Average Method Singular Perturbation Lipschitz Constant Classical Average
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