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Talks by Philippe Delanoë

About the smoothness question for the Riemannian Monge problem


We will consider the Monge (optimal transport) problem with quadratic cost function and smooth positive assigned probability measures on a closed Riemannian manifold. We will discuss what a smooth solution of that problem should look like, relying on a variational argument. We will indicate a PDE method to construct such a solution and state some recent existence results.

Philippe Delanoë


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