On Monge�Amp�re type equations arising in optimal transportation problems

Guti�rrez, Cristian; Nguyen, Truyen
March 2007
Calculus of Variations & Partial Differential Equations;Mar2007, Vol. 28 Issue 3, p275
Academic Journal
The article provides an overview regarding the optimal transportation problem using mathematical equations of Gasper Monge. It is inferred that the problem with optimal transportation is finding the map that push masses from one area to another. Areas of economics, probability theory, optimization, meteorology and computer graphics also encounters such problems. The paper considers the mathematical formula by Gaspar Monge to draw the optimal transportation problem.


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