Lawrence C. Evans, Wilfrid Gangbo, "Differential Equations Methods for the Monge-Kantorevich Mass Transfer Problem"
1999 | pages: 70 | ISBN: 0821809385 | PDF | 3,4 mb
This paper introduces some PDE and ODE methods for constructively solving one version of the Monge-Kantorovich mass transfer problem.
This optimization problem, and its many, many variants and extensions (entailing for example more general measures on more general spaces, different cost functionals, etc.) has been intensively studied for over two hundred years. We review some of the principal discoveries.
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