Monge-Ampère equation
Stochastic Analysis for the Complex Monge-Ampère Equation. (An Introduction to Krylov's Approach.)
... Monge-Ampère equation, the original required long-run estimate of the derivatives of the ow an be relaxed to a mu
h more less restri
tive version (and in fa
t an almost be an
elled) thanks to the ...
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Quantitative linearization results for the Monge-Ampère equation
... 1.1 Strategy of the proofs In this section, we will explain the key ideas for the proofs of our two main theorems. The rough picture is as follows: The first step in the proof of Theorem 1.2 is the harmonic ...
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Numerical solution of the second boundary value problem for the Elliptic Monge-Ampère equation
... solving Monge-Amp`ere as- sumes a target density ρ Y in the form of a (possibly weighted) sum of Dirac masses at prescribed supporting points in the target ...
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A large-scale regularity theory for the Monge-Ampère equation with rough data and application to the optimal matching problem
... Abstract The aim of this paper is to obtain quantitative bounds for solutions to the optimal matching problem in dimension two. These bounds show that up to a logarithmically divergent shift, the optimal transport maps ...
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Équation de Monge-Ampère complexe, métriques kählériennes de type Poincaré et instantons gravitationnels ALF
... of Monge-Ampère equations and its application on certain types of non-compact ...solve Monge-Ampère equations, and draw conclusions of these ...homogeneous Monge-Ampère ...
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Minimal convex extensions and finite difference discretisation of the quadratic Monge–Kantorovich problem
... We present an adaptation of the MA-LBR scheme to the Monge-Ampère equation with second boundary value condition, provided the target is a convex set. This yields a fast adaptive method to numerically ...
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Monotone and Consistent discretization of the Monge-Ampere operator
... the Monge-Ampere operator, on two dimensional cartesian grids, which is consistent and preserves at the discrete level a fundamental property of the continuous operator: degenerate ...the Monge- Ampere (MA) ...
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Coupled complex Monge-Ampère equations on Fano horosymmetric manifolds
... complex Monge-Ampère equations such as the Kähler- Einstein equation could be translated into a real Monge-Ampère equation with data encoded by combinatorial information on the ...
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Flots de Monge-Ampère complexes sur les variétés hermitiennes compactes
... admits a continuous solution for any bounded -pseudoconvex domain . Under natu- ral growth assumptions on  the solution is H¨older continuous for any H¨older continous boundary data Ï. Another interesting topic is the ...
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The Schrödinger Equation
... Schr¨odinger equation allows computing the exact inter- atomic potentials that could be then used to perform accurate molecular dynamics ...Schr¨odinger equation makes very difficult such solution even for ...
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An Hilbertian Framework for the Time-Continuous Monge-Kantorovich Problem
... Unit´e de recherche INRIA Lorraine, Technopˆole de Nancy-Brabois, Campus scientifique, ` NANCY 615 rue du Jardin Botanique, BP 101, 54600 VILLERS LES Unit´e de recherche INRIA Rennes, Ir[r] ...
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A general duality theorem for the Monge-Kantorovich transport problem
... unel. Monge-Kantorovich measure transportation and Monge-Amp` ere equation on Wiener ...unel. Monge-Kantorovich measure transportation, Monge- Amp` ere equation and the Itˆ o ...
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A generalized dual maximizer for the Monge--Kantorovich transport problem
... In most applications of the theory of optimal transport, the cost function c : X × Y → [0, ∞] is lower semicontinuous and only takes values in R + . But equation (1) makes perfect sense if the [0, ∞]-valued cost ...
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SECOND ORDER VARIATIONAL HEURISTICS FOR THE MONGE PROBLEM ON COMPACT MANIFOLDS
... satisfied µ-almost everywhere yields C(φ) > C(ϕ) by using (1), which shows that ϕ solves, indeed, the Monge problem Remark 1.1 If, in Proposition 1.2, the manifold M has no boundary and we strengthen (3b) by ...
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Numerical solution of the Monge-Kantorovich problem by Picard iterations
... Résolution numérique du problème de Monge-Kantorovich par des itérations de Picard Résumé : Nous présentons une méthode itérative pour résoudre numériquement le problème L 2 de Monge-Kantorovich. La ...
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SUR L'EQUATION DE SCHRÖDINGER ET L'EQUATION DE DIRAC-WEYL-FOCK.
... SUR L’ ´ EQUATION DE SCHR ¨ ODINGER ET L’ ´ EQUATION DE DIRAC-WEYL-FOCK. JONOT JEAN LOUIS Abstract. We provide some results for the notion of spacetime which allows travel through parts of the universe ...
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vecteur normal - equation de cercle
... d et (BC) sont perpendiculaires donc !"⃗ est un vecteur normal à d. !"⃗ −1 3 et ⃗ % + 1 − 2' M ∈ d signifie que !"⃗ ∙ ⃗ = 0 –1(x + 1) + 3(y – 2) = 0 –x + 3y – 7 = 0. II) Equation cartésienne d’un ...
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From the Schrödinger problem to the Monge-Kantorovich problem
... the Monge-Kantorovich optimal transport problem and a sequence of entropy minimization ...the Monge-Kantorovich problem is the limit of this sequence when a fluctuation parameter tends down to ...
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ARTheque - STEF - ENS Cachan | Le rôle de l'image dans l'interprétation et la prédiction des combinaisons chimiques chez Ampère
... Les particules ultimes de matière se répartissent les unes par rapport aux autres sous l'effet de forces attractives et répulsives jusqu'à ce qu'un équilibre s'établisse entre toutes les[r] ...
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A system of inequalities arising in mathematical economics and connected with the Monge-Kantorovich problem
... Carlier G. (2001), A general existence result for the principal-agent problem with adverse selection. - Journal of Mathematical Economics, v. 35, pp. 129-150. Levin V.L. (1990), General Monge-Kantorovich problem ...
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