A Model for the Optimal Planning of an Urban Area

@article{Buttazzo2005AMF,
  title={A Model for the Optimal Planning of an Urban Area},
  author={Giuseppe Buttazzo and Filippo Santambrogio},
  journal={SIAM J. Math. Analysis},
  year={2005},
  volume={37},
  pages={514-530}
}
We propose a model to describe the optimal distributions of residents and services in a prescribed urban area. The cost functional takes into account the transportation costs (according to a Monge-Kantorovich type criterion) and two additional terms which penalize concentration of residents and dispersion of services. The tools we use are the MongeKantorovich mass transportation theory and the theory of nonconvex functionals defined on measures. 
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