Marc Josien

activity

20152026

most citedPrecised approximations in elliptic homogenization beyond the periodic setting

15 citations · 33 across the 14 of their papers we have counts for

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Showing 2018Show all

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math.AP2018★ 15 cited

Precised approximations in elliptic homogenization beyond the periodic setting

Xavier Blanc, Marc Josien, Claude Le Bris

We consider homogenization problems for linear elliptic equations in divergence form. The coecients are assumed to be a local perturbation of some periodic background. We prove $W^…

math.AP2018

Decomposition and pointwise estimates of periodic Green functions of some elliptic equations with periodic oscillatory coefficients

Marc Josien

This article is about the $Z^{d}$ -periodic Green function $G_{n} (x, y)$ of the multiscale elliptic operator $Lu = - div (A (n \cdot) \cdot \nabla u)$ , where $A (x)$ …