A model for the optimal planning of an urban area

SIAM Journal on Mathematical Analysis

Volumn 37, Issue 2, 2006, Pages 514-530

  Buttazzo, Giuseppe ^a   Santambrogio, Filippo ^b  

^a UNIVERSITY OF PISA   (Italy)

^b SCUOLA NORMALE SUPERIORE   (Italy)

Author keywords

Mass transportation; Nonconvex functional over measures; Urban planning

Indexed keywords

COSTS; MASS TRANSPORTATION; OPTIMAL CONTROL SYSTEMS; URBAN PLANNING;

COST FUNCTIONAL; NONCONVEX FUNCTIONAL OVER MEASURES; TRANSPORTATION COSTS;

MATHEMATICAL MODELS;

EID: 33644963575     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141003438313     Document Type: Article

References (7)

1. 1 theory of optimal transportation, in Optimal Transportation and Applications, Lecture Notes in Math. 1813 (CIME Series, Martina Franca, 2001), L. A. Caffarelli and S. Salsa, eds., Springer-Verlag, Berlin, 2003, pp. 123-160.
2. G. BOUCHITTÉ AND G. BUTTAZZO, New lower semicontinuity results for nonconvex functional defined on measures, Nonlinear Anal., 15 (1990), pp. 679-692.
3. G. CARLIER AND I. EKELAND, The structure of cities, J. Global Optim., 29 (2004), pp. 371-376.
4. G. DAL MASO, An Introduction to Γ-Convergence, Birkhäuser, Basel, Switzerland, 1992.
5. L. C. EVANS AND W. GANGBO, Differential equations methods for the Monge-Kantorovich mass transfer problems, Mem. Amer. Math. Soc., 137 (1999), number 653.
6. F. SANTAMBROGIO, Misure ottime per costi di traaporto e funzionali locali, Laurea Thesis, Università di Pisa, Pisa, 2003; also available online from http://www.unipi.it/etd and cvgmt.sns.it.
7. C. VILLANI, Topics in Optimal Transportation, Grad. Stud. Math., AMS, Providence, RI, 2003.