Optimal Mass Transport on Metric Graphs
نویسندگان
چکیده
We study an optimal mass transport problem between two equal masses on a metric graph where the cost is given by the distance in the graph. To solve this problem we find a Kantorovich potential as the limit of p−Laplacian type problems in the graph where at the vertices we impose zero total flux boundary conditions. In addition, the approximation procedure allows us to find a transport density that encodes how much mass has to be transported through a given point in the graph, and also provide a simple formula of convex optimization for the total cost. November 12, 2014
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عنوان ژورنال:
- SIAM Journal on Optimization
دوره 25 شماره
صفحات -
تاریخ انتشار 2015