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MiS Preprint
57/1998
Optimization problems with concentration and oscillation effects: relaxation theory and numerical approximation
Martin Kruzik and Tomas Roubicek
Abstract
The paper deals with optimal control problems for which minimizing (sub)sequences of controls do not converge weakly in L1. For such problems, here governed by ordinary differential equations, the relaxed (generalized) solutions in terms of DiPerna-Majda measures are defined, correctness of the relaxation is shown and a numerical approximation is developed and tested on model examples.