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20022009
most citedA regression-based Monte Carlo method to solve backward stochastic differential equations

425 citations

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math.AP2009★ 11 cited

Decay of Positive Waves for Hyperbolic Systems of Balance Laws

Paola Goatin, Laurent Gosse

We prove Ole\u ınik-type decay estimates for entropy solutions of strictly hyperbolic systems of balance laws built out of a wave-front tracking procedure inside which…

math.AP2008★ 3 cited

The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups

Andrei Agrachev, Ugo Boscain, Jean-Paul Gauthier +1

We present an invariant definition of the hypoelliptic Laplacian on sub-Riemannian structures with constant growth vector, using the Popp's volume form introduced by Montgomery. Th…

math.AP2006

Optimal Estimates for the Electric Field in Two-Dimensions

H. Ammari, H. Kang, H. Lee +2

The purpose of this paper is to set out optimal gradient estimates for solutions to the isotropic conductivity problem in the presence of adjacent conductivity inclusions as the di…

math.AP2006

Asymptotic Analysis of High-Contrast Phononic Crystals and a Criterion for the Band-Gap Opening

H. Ammari, H. Kang, H. Lee

We investigate the band-gap structure of the frequency spectrum for elastic waves in a high-contrast, two-component periodic elastic medium. We consider two-dimensional phononic cr…