Výsledky vyhledávání - "Jimenez, Chloé"

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Duality theory and optimal transport for sand piles growing in a silos

Autor: De Pascale, Luigi, Jimenez, Chloé

We prove existence and uniqueness of solutions for a system of PDEs which describes the growth of a sandpile in a silos with flat bottom under the action of a vertical, measure source. The tools we use are a discrete approximation of the source and t

Externí odkaz: http://arxiv.org/abs/1501.01092

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Optimal transportation for a quadratic cost with convex constraints and applications

Autor: Jimenez, Chloé, Santambrogio, Filippo

We prove existence of an optimal transport map in the Monge-Kantorovich problem associated to a cost $c(x,y)$ which is not finite everywhere, but coincides with $|x-y|^2$ if the displacement $y-x$ belongs to a given convex set $C$ and it is $+\infty$

Externí odkaz: http://arxiv.org/abs/1110.3237

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Optimum and equilibrium in a transport problem with queue effects

Autor: Crippa, Gianluca, Jimenez, Chloé, Pratelli, Aldo

Consider a distribution of citizens in an urban area in which some services (supermarkets, post offices...) are present. Each citizen, in order to use a service, spends an amount of time which is due both to the travel time to the service and to the

Externí odkaz: http://arxiv.org/abs/0811.1939

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The \infty eigenvalue problem and a problem of optimal transportation

Autor: Champion, Thierry, De Pascale, Luigi, Jimenez, Chloé

The so-called eigenvalues and eigenfunctions of the infinite Laplacian $\Delta_\infty$ are defined through an asymptotic study of that of the usual $p$-Laplacian $\Delta_p$, this brings to a characterization via a non-linear eigenvalue problem for a

Externí odkaz: http://arxiv.org/abs/0811.1934

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