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On the optimization of a conservation law |
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| Authors: | Rinaldo?M.?Colombo author-information" > author-information__contact u-icon-before" > mailto:rinaldo@ing.unibs.it" title=" rinaldo@ing.unibs.it" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Alessandro?Groli |
| Affiliation: | (1) Department of Mathematics,, University of Brescia,, Via Valotti 9,, 25133 Brescia,, Italy |
| Abstract: | Consider the Cauchy problem for a conservation law and assume that an integral functional on its solution is defined. In this note we obtain an Euler-Lagrange equation for the stationary points of this functional. An application to the optimal management of traffic flows is considered.Received: 29 April 2002, Accepted: 24 October 2002, Published online: 4 September 2003Mathematics Subject Classification (2000): 35L65, 49K20, 90B20The authors thank Stefano Bianchini for useful discussions. |
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