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arXiv · 1504.01149

Mean field type control with congestion

Yves Achdou·Mathieu Lauriere
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Abstract

We analyze some systems of partial differential equations arising in the theory of mean field type control with congestion effects. We look for weak solutions. Our main result is the existence and uniqueness of suitably defined weak solutions, which are characterized as the optima of two optimal control problems in duality.

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Yves Achdou, Mathieu Lauriere. 2015-04-05. Mean field type control with congestion. https://arxiv.org/abs/1504.01149

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