A variational model for urban planning with traffic congestion

ESAIM - Control, Optimisation and Calculus of Variations

Volumn 11, Issue 4, 2005, Pages 595-613

  Carlier, Guillaume ^a   Santambrogio, Filippo ^b  

^a UNIVERSITÉ PARIS DAUPHINE   (France)

^b SCUOLA NORMALE SUPERIORE   (Italy)

Author keywords

Continuous transportation models; Traffic congestion

Indexed keywords

COST ACCOUNTING; TRAFFIC CONTROL; TRANSPORTATION CHARGES; URBAN PLANNING; VARIATIONAL TECHNIQUES;

CONTINUOUS TRANSPORTATION MODELS; REGULARITY PROPERTIES; TRAFFIC CONGESTION; VARIATIONAL MODELS;

MATHEMATICAL MODELS;

EID: 30844460820     PISSN: 12928119     EISSN: 12623377     Source Type: Journal    
DOI: 10.1051/cocv:2005022     Document Type: Article

References (10)

1. S. Agmon, A. Douglis and L. Nirenberg, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions I. Comm. Pure Appl. Math. 12 (1959) 623-727.
2. M. Beckmann, A continuous model of transportation. Econometrica 20 (1952) 643-660.
3. M. Beckmann and T. Puu, Spatial Economics: Density, Potential and Flow. North-Holland, Amsterdam (1985).
4. H. Brezis, Analyse Fonctionnelle. Masson Editeur, Paris (1983).
5. G. Buttazzo and F. Santambrogio, A model for the optimal planning of an urban area. Preprint available at cvgmt.sns.it (2003). To appear in SIAM J. Math. Anal.
6. G. Buttazzo and E. Stepanov, Optimal transportation networks as free Dirichlet regions for the Monge-Kantorovich problem. Ann. Sc. Norm. Super. Pisa Cl. Sci. 2 (2003) 631-678.
7. L. De Pascale and A. Pratelli, Regularity properties for Monge transport density and for solutions of some shape optimization problem. Calc. Var. Partial Differ. Equ. 14 (2002) 249-274.
8. D. Gilbarg and N. Trudinger, Elliptic Partial Differential Equations of Second Order. Springer-Verlag, Berlin (1977).
9. R.J. McCann, A convexity principle for interacting gases. Adv. Math. 128 (1997) 153-159.
10. F. Santambrogio, Misure ottime per costi di trasporto e funzionali locali (in italian), Laurea Thesis, Universita di Pisa, advisor: G. Buttazzo, available at www.unipi.it/etd and cvgmt.sns.it (2003).